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Finding the Fourth Proportional to 34,310.52, 51,458.54 and 9,680.76

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Solution

The fourth proportional to 34,310.52, 51,458.54 and 9,680.76 is: 14,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,310.52 : 51,458.54 = 9,680.76 : x
  2. Step 2: Convert to fraction form
    34,310.52/51,458.54 = 9,680.76/x
  3. Step 3: Cross multiply
    34,310.52x = 51,458.54 × 9,680.76
  4. Step 4: Simplify right side
    34,310.52x = 498,157,775.69
  5. Step 5: Solve for x
    x = 498,157,775.69/34,310.52
  6. Step 6: Final answer
    x = 14,519.10

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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.