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Finding the Fourth Proportional to 16,344.80, 24,518.11 and 4,657.11

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Solution

The fourth proportional to 16,344.80, 24,518.11 and 4,657.11 is: 6,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.80 : 24,518.11 = 4,657.11 : x
  2. Step 2: Convert to fraction form
    16,344.80/24,518.11 = 4,657.11/x
  3. Step 3: Cross multiply
    16,344.80x = 24,518.11 × 4,657.11
  4. Step 4: Simplify right side
    16,344.80x = 114,183,535.26
  5. Step 5: Solve for x
    x = 114,183,535.26/16,344.80
  6. Step 6: Final answer
    x = 6,985.92

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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.