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Finding the Fourth Proportional to 6,607.68, 9,911.46 and 1,677.24

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Solution

The fourth proportional to 6,607.68, 9,911.46 and 1,677.24 is: 2,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.68 : 9,911.46 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    6,607.68/9,911.46 = 1,677.24/x
  3. Step 3: Cross multiply
    6,607.68x = 9,911.46 × 1,677.24
  4. Step 4: Simplify right side
    6,607.68x = 16,623,897.17
  5. Step 5: Solve for x
    x = 16,623,897.17/6,607.68
  6. Step 6: Final answer
    x = 2,515.84

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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.