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Finding the Fourth Proportional to 10,073.76, 13,900.20 and 5,823.24

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Solution

The fourth proportional to 10,073.76, 13,900.20 and 5,823.24 is: 8,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.76 : 13,900.20 = 5,823.24 : x
  2. Step 2: Convert to fraction form
    10,073.76/13,900.20 = 5,823.24/x
  3. Step 3: Cross multiply
    10,073.76x = 13,900.20 × 5,823.24
  4. Step 4: Simplify right side
    10,073.76x = 80,944,200.65
  5. Step 5: Solve for x
    x = 80,944,200.65/10,073.76
  6. Step 6: Final answer
    x = 8,035.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.