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Finding the Fourth Proportional to 9,902.52, 14,854.26 and 5,516.70

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Solution

The fourth proportional to 9,902.52, 14,854.26 and 5,516.70 is: 8,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.52 : 14,854.26 = 5,516.70 : x
  2. Step 2: Convert to fraction form
    9,902.52/14,854.26 = 5,516.70/x
  3. Step 3: Cross multiply
    9,902.52x = 14,854.26 × 5,516.70
  4. Step 4: Simplify right side
    9,902.52x = 81,946,496.14
  5. Step 5: Solve for x
    x = 81,946,496.14/9,902.52
  6. Step 6: Final answer
    x = 8,275.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.