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Finding the Fourth Proportional to 8,365.66, 11,546.71 and 5,681.42

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Solution

The fourth proportional to 8,365.66, 11,546.71 and 5,681.42 is: 7,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.66 : 11,546.71 = 5,681.42 : x
  2. Step 2: Convert to fraction form
    8,365.66/11,546.71 = 5,681.42/x
  3. Step 3: Cross multiply
    8,365.66x = 11,546.71 × 5,681.42
  4. Step 4: Simplify right side
    8,365.66x = 65,601,712.71
  5. Step 5: Solve for x
    x = 65,601,712.71/8,365.66
  6. Step 6: Final answer
    x = 7,841.79

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Half scale
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Double scale
Find fourth proportional to 8,366.66, 11,548.09 and 5,682.42
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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.