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Finding the Fourth Proportional to 10,438.65, 14,401.79 and 5,959.18

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Solution

The fourth proportional to 10,438.65, 14,401.79 and 5,959.18 is: 8,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.65 : 14,401.79 = 5,959.18 : x
  2. Step 2: Convert to fraction form
    10,438.65/14,401.79 = 5,959.18/x
  3. Step 3: Cross multiply
    10,438.65x = 14,401.79 × 5,959.18
  4. Step 4: Simplify right side
    10,438.65x = 85,822,793.13
  5. Step 5: Solve for x
    x = 85,822,793.13/10,438.65
  6. Step 6: Final answer
    x = 8,221.64

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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.