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Finding the Fourth Proportional to 7,569.65, 11,354.14 and 2,640.40

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Solution

The fourth proportional to 7,569.65, 11,354.14 and 2,640.40 is: 3,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.65 : 11,354.14 = 2,640.40 : x
  2. Step 2: Convert to fraction form
    7,569.65/11,354.14 = 2,640.40/x
  3. Step 3: Cross multiply
    7,569.65x = 11,354.14 × 2,640.40
  4. Step 4: Simplify right side
    7,569.65x = 29,979,446.17
  5. Step 5: Solve for x
    x = 29,979,446.17/7,569.65
  6. Step 6: Final answer
    x = 3,960.48

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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.