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Finding the Fourth Proportional to 9,149.48, 12,617.04 and 7,465.48

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Solution

The fourth proportional to 9,149.48, 12,617.04 and 7,465.48 is: 10,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.48 : 12,617.04 = 7,465.48 : x
  2. Step 2: Convert to fraction form
    9,149.48/12,617.04 = 7,465.48/x
  3. Step 3: Cross multiply
    9,149.48x = 12,617.04 × 7,465.48
  4. Step 4: Simplify right side
    9,149.48x = 94,192,259.78
  5. Step 5: Solve for x
    x = 94,192,259.78/9,149.48
  6. Step 6: Final answer
    x = 10,294.82

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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.