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Finding the Fourth Proportional to 6,877.52, 9,486.12 and 4,226.42

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Solution

The fourth proportional to 6,877.52, 9,486.12 and 4,226.42 is: 5,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.52 : 9,486.12 = 4,226.42 : x
  2. Step 2: Convert to fraction form
    6,877.52/9,486.12 = 4,226.42/x
  3. Step 3: Cross multiply
    6,877.52x = 9,486.12 × 4,226.42
  4. Step 4: Simplify right side
    6,877.52x = 40,092,327.29
  5. Step 5: Solve for x
    x = 40,092,327.29/6,877.52
  6. Step 6: Final answer
    x = 5,829.47

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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.