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Finding the Fourth Proportional to 15,280.76, 22,929.78 and 6,514.76

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Solution

The fourth proportional to 15,280.76, 22,929.78 and 6,514.76 is: 9,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280.76 : 22,929.78 = 6,514.76 : x
  2. Step 2: Convert to fraction form
    15,280.76/22,929.78 = 6,514.76/x
  3. Step 3: Cross multiply
    15,280.76x = 22,929.78 × 6,514.76
  4. Step 4: Simplify right side
    15,280.76x = 149,382,013.55
  5. Step 5: Solve for x
    x = 149,382,013.55/15,280.76
  6. Step 6: Final answer
    x = 9,775.82

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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.