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Finding the Fourth Proportional to 8,565.98, 12,842.74 and 5,785.76

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Solution

The fourth proportional to 8,565.98, 12,842.74 and 5,785.76 is: 8,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.98 : 12,842.74 = 5,785.76 : x
  2. Step 2: Convert to fraction form
    8,565.98/12,842.74 = 5,785.76/x
  3. Step 3: Cross multiply
    8,565.98x = 12,842.74 × 5,785.76
  4. Step 4: Simplify right side
    8,565.98x = 74,305,011.38
  5. Step 5: Solve for x
    x = 74,305,011.38/8,565.98
  6. Step 6: Final answer
    x = 8,674.43

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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.