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Finding the Fourth Proportional to 6,510.18, 9,743.40 and 4,046.70

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Solution

The fourth proportional to 6,510.18, 9,743.40 and 4,046.70 is: 6,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.18 : 9,743.40 = 4,046.70 : x
  2. Step 2: Convert to fraction form
    6,510.18/9,743.40 = 4,046.70/x
  3. Step 3: Cross multiply
    6,510.18x = 9,743.40 × 4,046.70
  4. Step 4: Simplify right side
    6,510.18x = 39,428,616.78
  5. Step 5: Solve for x
    x = 39,428,616.78/6,510.18
  6. Step 6: Final answer
    x = 6,056.46

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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.