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Finding the Fourth Proportional to 6,598.12, 9,897.16 and 2,702.53

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Solution

The fourth proportional to 6,598.12, 9,897.16 and 2,702.53 is: 4,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.12 : 9,897.16 = 2,702.53 : x
  2. Step 2: Convert to fraction form
    6,598.12/9,897.16 = 2,702.53/x
  3. Step 3: Cross multiply
    6,598.12x = 9,897.16 × 2,702.53
  4. Step 4: Simplify right side
    6,598.12x = 26,747,371.81
  5. Step 5: Solve for x
    x = 26,747,371.81/6,598.12
  6. Step 6: Final answer
    x = 4,053.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.