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Finding the Fourth Proportional to 10,534.80, 15,794.10 and 5,917.80

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Solution

The fourth proportional to 10,534.80, 15,794.10 and 5,917.80 is: 8,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.80 : 15,794.10 = 5,917.80 : x
  2. Step 2: Convert to fraction form
    10,534.80/15,794.10 = 5,917.80/x
  3. Step 3: Cross multiply
    10,534.80x = 15,794.10 × 5,917.80
  4. Step 4: Simplify right side
    10,534.80x = 93,466,324.98
  5. Step 5: Solve for x
    x = 93,466,324.98/10,534.80
  6. Step 6: Final answer
    x = 8,872.15

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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.