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Finding the Fourth Proportional to 6,694.40, 10,041.60 and 6,502.40

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Solution

The fourth proportional to 6,694.40, 10,041.60 and 6,502.40 is: 9,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.40 : 10,041.60 = 6,502.40 : x
  2. Step 2: Convert to fraction form
    6,694.40/10,041.60 = 6,502.40/x
  3. Step 3: Cross multiply
    6,694.40x = 10,041.60 × 6,502.40
  4. Step 4: Simplify right side
    6,694.40x = 65,294,499.84
  5. Step 5: Solve for x
    x = 65,294,499.84/6,694.40
  6. Step 6: Final answer
    x = 9,753.60

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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.