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Finding the Fourth Proportional to 7,234.74, 10,878.84 and 6,972.30

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Solution

The fourth proportional to 7,234.74, 10,878.84 and 6,972.30 is: 10,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.74 : 10,878.84 = 6,972.30 : x
  2. Step 2: Convert to fraction form
    7,234.74/10,878.84 = 6,972.30/x
  3. Step 3: Cross multiply
    7,234.74x = 10,878.84 × 6,972.30
  4. Step 4: Simplify right side
    7,234.74x = 75,850,536.13
  5. Step 5: Solve for x
    x = 75,850,536.13/7,234.74
  6. Step 6: Final answer
    x = 10,484.21

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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.