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Finding the Fourth Proportional to 6,549.67, 9,046.70 and 4,754.31

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Solution

The fourth proportional to 6,549.67, 9,046.70 and 4,754.31 is: 6,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.67 : 9,046.70 = 4,754.31 : x
  2. Step 2: Convert to fraction form
    6,549.67/9,046.70 = 4,754.31/x
  3. Step 3: Cross multiply
    6,549.67x = 9,046.70 × 4,754.31
  4. Step 4: Simplify right side
    6,549.67x = 43,010,776.41
  5. Step 5: Solve for x
    x = 43,010,776.41/6,549.67
  6. Step 6: Final answer
    x = 6,566.86

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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.