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Finding the Fourth Proportional to 7,402.59, 10,202.76 and 6,452.46

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Solution

The fourth proportional to 7,402.59, 10,202.76 and 6,452.46 is: 8,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.59 : 10,202.76 = 6,452.46 : x
  2. Step 2: Convert to fraction form
    7,402.59/10,202.76 = 6,452.46/x
  3. Step 3: Cross multiply
    7,402.59x = 10,202.76 × 6,452.46
  4. Step 4: Simplify right side
    7,402.59x = 65,832,900.79
  5. Step 5: Solve for x
    x = 65,832,900.79/7,402.59
  6. Step 6: Final answer
    x = 8,893.23

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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.