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Finding the Fourth Proportional to 6,859.74, 10,281.82 and 3,154.32

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Solution

The fourth proportional to 6,859.74, 10,281.82 and 3,154.32 is: 4,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.74 : 10,281.82 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    6,859.74/10,281.82 = 3,154.32/x
  3. Step 3: Cross multiply
    6,859.74x = 10,281.82 × 3,154.32
  4. Step 4: Simplify right side
    6,859.74x = 32,432,150.46
  5. Step 5: Solve for x
    x = 32,432,150.46/6,859.74
  6. Step 6: Final answer
    x = 4,727.90

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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.