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Finding the Fourth Proportional to 24,384.64, 36,576.96 and 6,854.47

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Solution

The fourth proportional to 24,384.64, 36,576.96 and 6,854.47 is: 10,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.64 : 36,576.96 = 6,854.47 : x
  2. Step 2: Convert to fraction form
    24,384.64/36,576.96 = 6,854.47/x
  3. Step 3: Cross multiply
    24,384.64x = 36,576.96 × 6,854.47
  4. Step 4: Simplify right side
    24,384.64x = 250,715,566.43
  5. Step 5: Solve for x
    x = 250,715,566.43/24,384.64
  6. Step 6: Final answer
    x = 10,281.70

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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.