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Finding the Fourth Proportional to 9,103.64, 12,564.23 and 5,125.52

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Solution

The fourth proportional to 9,103.64, 12,564.23 and 5,125.52 is: 7,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.64 : 12,564.23 = 5,125.52 : x
  2. Step 2: Convert to fraction form
    9,103.64/12,564.23 = 5,125.52/x
  3. Step 3: Cross multiply
    9,103.64x = 12,564.23 × 5,125.52
  4. Step 4: Simplify right side
    9,103.64x = 64,398,217.93
  5. Step 5: Solve for x
    x = 64,398,217.93/9,103.64
  6. Step 6: Final answer
    x = 7,073.90

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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.