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Finding the Fourth Proportional to 8,260.57, 11,397.02 and 4,723.10

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Solution

The fourth proportional to 8,260.57, 11,397.02 and 4,723.10 is: 6,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.57 : 11,397.02 = 4,723.10 : x
  2. Step 2: Convert to fraction form
    8,260.57/11,397.02 = 4,723.10/x
  3. Step 3: Cross multiply
    8,260.57x = 11,397.02 × 4,723.10
  4. Step 4: Simplify right side
    8,260.57x = 53,829,265.16
  5. Step 5: Solve for x
    x = 53,829,265.16/8,260.57
  6. Step 6: Final answer
    x = 6,516.41

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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.