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Finding the Fourth Proportional to 6,877.72, 10,327.86 and 6,527.14

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Solution

The fourth proportional to 6,877.72, 10,327.86 and 6,527.14 is: 9,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.72 : 10,327.86 = 6,527.14 : x
  2. Step 2: Convert to fraction form
    6,877.72/10,327.86 = 6,527.14/x
  3. Step 3: Cross multiply
    6,877.72x = 10,327.86 × 6,527.14
  4. Step 4: Simplify right side
    6,877.72x = 67,411,388.12
  5. Step 5: Solve for x
    x = 67,411,388.12/6,877.72
  6. Step 6: Final answer
    x = 9,801.42

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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.