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Finding the Fourth Proportional to 12,565.52, 18,823.14 and 7,565.12

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Solution

The fourth proportional to 12,565.52, 18,823.14 and 7,565.12 is: 11,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.52 : 18,823.14 = 7,565.12 : x
  2. Step 2: Convert to fraction form
    12,565.52/18,823.14 = 7,565.12/x
  3. Step 3: Cross multiply
    12,565.52x = 18,823.14 × 7,565.12
  4. Step 4: Simplify right side
    12,565.52x = 142,399,312.88
  5. Step 5: Solve for x
    x = 142,399,312.88/12,565.52
  6. Step 6: Final answer
    x = 11,332.54

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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.