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Finding the Fourth Proportional to 10,582.71, 15,874.41 and 3,920.88

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Solution

The fourth proportional to 10,582.71, 15,874.41 and 3,920.88 is: 5,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.71 : 15,874.41 = 3,920.88 : x
  2. Step 2: Convert to fraction form
    10,582.71/15,874.41 = 3,920.88/x
  3. Step 3: Cross multiply
    10,582.71x = 15,874.41 × 3,920.88
  4. Step 4: Simplify right side
    10,582.71x = 62,241,622.13
  5. Step 5: Solve for x
    x = 62,241,622.13/10,582.71
  6. Step 6: Final answer
    x = 5,881.44

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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.