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Finding the Fourth Proportional to 10,384.58, 15,576.87 and 8,294.80

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Solution

The fourth proportional to 10,384.58, 15,576.87 and 8,294.80 is: 12,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.58 : 15,576.87 = 8,294.80 : x
  2. Step 2: Convert to fraction form
    10,384.58/15,576.87 = 8,294.80/x
  3. Step 3: Cross multiply
    10,384.58x = 15,576.87 × 8,294.80
  4. Step 4: Simplify right side
    10,384.58x = 129,207,011.54
  5. Step 5: Solve for x
    x = 129,207,011.54/10,384.58
  6. Step 6: Final answer
    x = 12,442.20

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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.