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Finding the Fourth Proportional to 6,774.31, 9,335.88 and 4,882.62

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Solution

The fourth proportional to 6,774.31, 9,335.88 and 4,882.62 is: 6,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.31 : 9,335.88 = 4,882.62 : x
  2. Step 2: Convert to fraction form
    6,774.31/9,335.88 = 4,882.62/x
  3. Step 3: Cross multiply
    6,774.31x = 9,335.88 × 4,882.62
  4. Step 4: Simplify right side
    6,774.31x = 45,583,554.41
  5. Step 5: Solve for x
    x = 45,583,554.41/6,774.31
  6. Step 6: Final answer
    x = 6,728.89

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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.