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Finding the Fourth Proportional to 6,701.10, 10,040.71 and 6,445.14

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Solution

The fourth proportional to 6,701.10, 10,040.71 and 6,445.14 is: 9,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.10 : 10,040.71 = 6,445.14 : x
  2. Step 2: Convert to fraction form
    6,701.10/10,040.71 = 6,445.14/x
  3. Step 3: Cross multiply
    6,701.10x = 10,040.71 × 6,445.14
  4. Step 4: Simplify right side
    6,701.10x = 64,713,781.65
  5. Step 5: Solve for x
    x = 64,713,781.65/6,701.10
  6. Step 6: Final answer
    x = 9,657.19

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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.