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Finding the Fourth Proportional to 10,097.92, 13,931.26 and 7,451.64

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Solution

The fourth proportional to 10,097.92, 13,931.26 and 7,451.64 is: 10,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.92 : 13,931.26 = 7,451.64 : x
  2. Step 2: Convert to fraction form
    10,097.92/13,931.26 = 7,451.64/x
  3. Step 3: Cross multiply
    10,097.92x = 13,931.26 × 7,451.64
  4. Step 4: Simplify right side
    10,097.92x = 103,810,734.27
  5. Step 5: Solve for x
    x = 103,810,734.27/10,097.92
  6. Step 6: Final answer
    x = 10,280.41

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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.