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Finding the Fourth Proportional to 6,065.76, 9,097.59 and 1,683.66

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Solution

The fourth proportional to 6,065.76, 9,097.59 and 1,683.66 is: 2,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.76 : 9,097.59 = 1,683.66 : x
  2. Step 2: Convert to fraction form
    6,065.76/9,097.59 = 1,683.66/x
  3. Step 3: Cross multiply
    6,065.76x = 9,097.59 × 1,683.66
  4. Step 4: Simplify right side
    6,065.76x = 15,317,248.38
  5. Step 5: Solve for x
    x = 15,317,248.38/6,065.76
  6. Step 6: Final answer
    x = 2,525.20

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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.