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Finding the Fourth Proportional to 6,049.42, 9,050.43 and 5,348.16

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Solution

The fourth proportional to 6,049.42, 9,050.43 and 5,348.16 is: 8,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.42 : 9,050.43 = 5,348.16 : x
  2. Step 2: Convert to fraction form
    6,049.42/9,050.43 = 5,348.16/x
  3. Step 3: Cross multiply
    6,049.42x = 9,050.43 × 5,348.16
  4. Step 4: Simplify right side
    6,049.42x = 48,403,167.76
  5. Step 5: Solve for x
    x = 48,403,167.76/6,049.42
  6. Step 6: Final answer
    x = 8,001.29

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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.