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Finding the Fourth Proportional to 7,125.52, 10,689.12 and 2,446.40

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Solution

The fourth proportional to 7,125.52, 10,689.12 and 2,446.40 is: 3,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.52 : 10,689.12 = 2,446.40 : x
  2. Step 2: Convert to fraction form
    7,125.52/10,689.12 = 2,446.40/x
  3. Step 3: Cross multiply
    7,125.52x = 10,689.12 × 2,446.40
  4. Step 4: Simplify right side
    7,125.52x = 26,149,863.17
  5. Step 5: Solve for x
    x = 26,149,863.17/7,125.52
  6. Step 6: Final answer
    x = 3,669.89

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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.