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Finding the Fourth Proportional to 7,178.61, 10,767.61 and 2,248.14

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Solution

The fourth proportional to 7,178.61, 10,767.61 and 2,248.14 is: 3,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.61 : 10,767.61 = 2,248.14 : x
  2. Step 2: Convert to fraction form
    7,178.61/10,767.61 = 2,248.14/x
  3. Step 3: Cross multiply
    7,178.61x = 10,767.61 × 2,248.14
  4. Step 4: Simplify right side
    7,178.61x = 24,207,094.75
  5. Step 5: Solve for x
    x = 24,207,094.75/7,178.61
  6. Step 6: Final answer
    x = 3,372.11

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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.