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Finding the Fourth Proportional to 6,998.60, 10,506.81 and 6,017.69

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Solution

The fourth proportional to 6,998.60, 10,506.81 and 6,017.69 is: 9,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.60 : 10,506.81 = 6,017.69 : x
  2. Step 2: Convert to fraction form
    6,998.60/10,506.81 = 6,017.69/x
  3. Step 3: Cross multiply
    6,998.60x = 10,506.81 × 6,017.69
  4. Step 4: Simplify right side
    6,998.60x = 63,226,725.47
  5. Step 5: Solve for x
    x = 63,226,725.47/6,998.60
  6. Step 6: Final answer
    x = 9,034.20

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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.