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Finding the Fourth Proportional to 5,824.61, 8,729.63 and 4,587.14

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Solution

The fourth proportional to 5,824.61, 8,729.63 and 4,587.14 is: 6,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.61 : 8,729.63 = 4,587.14 : x
  2. Step 2: Convert to fraction form
    5,824.61/8,729.63 = 4,587.14/x
  3. Step 3: Cross multiply
    5,824.61x = 8,729.63 × 4,587.14
  4. Step 4: Simplify right side
    5,824.61x = 40,044,002.78
  5. Step 5: Solve for x
    x = 40,044,002.78/5,824.61
  6. Step 6: Final answer
    x = 6,874.96

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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.