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Finding the Fourth Proportional to 6,560.84, 9,837.18 and 2,177.16

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Solution

The fourth proportional to 6,560.84, 9,837.18 and 2,177.16 is: 3,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.84 : 9,837.18 = 2,177.16 : x
  2. Step 2: Convert to fraction form
    6,560.84/9,837.18 = 2,177.16/x
  3. Step 3: Cross multiply
    6,560.84x = 9,837.18 × 2,177.16
  4. Step 4: Simplify right side
    6,560.84x = 21,417,114.81
  5. Step 5: Solve for x
    x = 21,417,114.81/6,560.84
  6. Step 6: Final answer
    x = 3,264.39

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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.