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Finding the Fourth Proportional to 9,656.25, 13,326.74 and 5,881.63

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Solution

The fourth proportional to 9,656.25, 13,326.74 and 5,881.63 is: 8,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.25 : 13,326.74 = 5,881.63 : x
  2. Step 2: Convert to fraction form
    9,656.25/13,326.74 = 5,881.63/x
  3. Step 3: Cross multiply
    9,656.25x = 13,326.74 × 5,881.63
  4. Step 4: Simplify right side
    9,656.25x = 78,382,953.79
  5. Step 5: Solve for x
    x = 78,382,953.79/9,656.25
  6. Step 6: Final answer
    x = 8,117.33

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Half scale
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Double scale
Find fourth proportional to 9,657.25, 13,328.12 and 5,882.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.