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Finding the Fourth Proportional to 24,319.17, 36,478.71 and 6,789.42

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Solution

The fourth proportional to 24,319.17, 36,478.71 and 6,789.42 is: 10,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319.17 : 36,478.71 = 6,789.42 : x
  2. Step 2: Convert to fraction form
    24,319.17/36,478.71 = 6,789.42/x
  3. Step 3: Cross multiply
    24,319.17x = 36,478.71 × 6,789.42
  4. Step 4: Simplify right side
    24,319.17x = 247,669,283.25
  5. Step 5: Solve for x
    x = 247,669,283.25/24,319.17
  6. Step 6: Final answer
    x = 10,184.12

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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.