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Finding the Fourth Proportional to 5,614.85, 8,437.70 and 5,249.16

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Solution

The fourth proportional to 5,614.85, 8,437.70 and 5,249.16 is: 7,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.85 : 8,437.70 = 5,249.16 : x
  2. Step 2: Convert to fraction form
    5,614.85/8,437.70 = 5,249.16/x
  3. Step 3: Cross multiply
    5,614.85x = 8,437.70 × 5,249.16
  4. Step 4: Simplify right side
    5,614.85x = 44,290,850.45
  5. Step 5: Solve for x
    x = 44,290,850.45/5,614.85
  6. Step 6: Final answer
    x = 7,888.16

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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.