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Finding the Fourth Proportional to 9,684.76, 13,364.96 and 5,708.32

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Solution

The fourth proportional to 9,684.76, 13,364.96 and 5,708.32 is: 7,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.76 : 13,364.96 = 5,708.32 : x
  2. Step 2: Convert to fraction form
    9,684.76/13,364.96 = 5,708.32/x
  3. Step 3: Cross multiply
    9,684.76x = 13,364.96 × 5,708.32
  4. Step 4: Simplify right side
    9,684.76x = 76,291,468.47
  5. Step 5: Solve for x
    x = 76,291,468.47/9,684.76
  6. Step 6: Final answer
    x = 7,877.48

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Half scale
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Double scale
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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.