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Finding the Fourth Proportional to 16,478.67, 24,714.08 and 7,113.56

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Solution

The fourth proportional to 16,478.67, 24,714.08 and 7,113.56 is: 10,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.67 : 24,714.08 = 7,113.56 : x
  2. Step 2: Convert to fraction form
    16,478.67/24,714.08 = 7,113.56/x
  3. Step 3: Cross multiply
    16,478.67x = 24,714.08 × 7,113.56
  4. Step 4: Simplify right side
    16,478.67x = 175,805,129.86
  5. Step 5: Solve for x
    x = 175,805,129.86/16,478.67
  6. Step 6: Final answer
    x = 10,668.65

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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.