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Finding the Fourth Proportional to 16,647.90, 24,972.80 and 6,259.74

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Solution

The fourth proportional to 16,647.90, 24,972.80 and 6,259.74 is: 9,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.90 : 24,972.80 = 6,259.74 : x
  2. Step 2: Convert to fraction form
    16,647.90/24,972.80 = 6,259.74/x
  3. Step 3: Cross multiply
    16,647.90x = 24,972.80 × 6,259.74
  4. Step 4: Simplify right side
    16,647.90x = 156,323,125.86
  5. Step 5: Solve for x
    x = 156,323,125.86/16,647.90
  6. Step 6: Final answer
    x = 9,389.96

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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.