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Finding the Fourth Proportional to 6,657, 9,985.08 and 2,600.16

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Solution

The fourth proportional to 6,657, 9,985.08 and 2,600.16 is: 3,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,985.08 = 2,600.16 : x
  2. Step 2: Convert to fraction form
    6,657/9,985.08 = 2,600.16/x
  3. Step 3: Cross multiply
    6,657x = 9,985.08 × 2,600.16
  4. Step 4: Simplify right side
    6,657x = 25,962,805.61
  5. Step 5: Solve for x
    x = 25,962,805.61/6,657
  6. Step 6: Final answer
    x = 3,900.08

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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.