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Finding the Fourth Proportional to 7,146.34, 9,862.09 and 4,002.52

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Solution

The fourth proportional to 7,146.34, 9,862.09 and 4,002.52 is: 5,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.34 : 9,862.09 = 4,002.52 : x
  2. Step 2: Convert to fraction form
    7,146.34/9,862.09 = 4,002.52/x
  3. Step 3: Cross multiply
    7,146.34x = 9,862.09 × 4,002.52
  4. Step 4: Simplify right side
    7,146.34x = 39,473,212.47
  5. Step 5: Solve for x
    x = 39,473,212.47/7,146.34
  6. Step 6: Final answer
    x = 5,523.56

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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.