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Finding the Fourth Proportional to 5,548.98, 7,664.45 and 4,034.18

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Solution

The fourth proportional to 5,548.98, 7,664.45 and 4,034.18 is: 5,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.98 : 7,664.45 = 4,034.18 : x
  2. Step 2: Convert to fraction form
    5,548.98/7,664.45 = 4,034.18/x
  3. Step 3: Cross multiply
    5,548.98x = 7,664.45 × 4,034.18
  4. Step 4: Simplify right side
    5,548.98x = 30,919,712.41
  5. Step 5: Solve for x
    x = 30,919,712.41/5,548.98
  6. Step 6: Final answer
    x = 5,572.14

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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.