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Finding the Fourth Proportional to 6,548.70, 9,035.73 and 5,490.74

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Solution

The fourth proportional to 6,548.70, 9,035.73 and 5,490.74 is: 7,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.70 : 9,035.73 = 5,490.74 : x
  2. Step 2: Convert to fraction form
    6,548.70/9,035.73 = 5,490.74/x
  3. Step 3: Cross multiply
    6,548.70x = 9,035.73 × 5,490.74
  4. Step 4: Simplify right side
    6,548.70x = 49,612,800.46
  5. Step 5: Solve for x
    x = 49,612,800.46/6,548.70
  6. Step 6: Final answer
    x = 7,575.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.