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Finding the Fourth Proportional to 9,148.70, 12,625.10 and 5,371.20

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Solution

The fourth proportional to 9,148.70, 12,625.10 and 5,371.20 is: 7,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.70 : 12,625.10 = 5,371.20 : x
  2. Step 2: Convert to fraction form
    9,148.70/12,625.10 = 5,371.20/x
  3. Step 3: Cross multiply
    9,148.70x = 12,625.10 × 5,371.20
  4. Step 4: Simplify right side
    9,148.70x = 67,811,937.12
  5. Step 5: Solve for x
    x = 67,811,937.12/9,148.70
  6. Step 6: Final answer
    x = 7,412.19

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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.