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Finding the Fourth Proportional to 7,842, 10,819.31 and 4,482.42

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Solution

The fourth proportional to 7,842, 10,819.31 and 4,482.42 is: 6,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 10,819.31 = 4,482.42 : x
  2. Step 2: Convert to fraction form
    7,842/10,819.31 = 4,482.42/x
  3. Step 3: Cross multiply
    7,842x = 10,819.31 × 4,482.42
  4. Step 4: Simplify right side
    7,842x = 48,496,691.53
  5. Step 5: Solve for x
    x = 48,496,691.53/7,842
  6. Step 6: Final answer
    x = 6,184.22

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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.