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Finding the Fourth Proportional to 6,746.40, 10,100.40 and 6,554.40

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Solution

The fourth proportional to 6,746.40, 10,100.40 and 6,554.40 is: 9,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.40 : 10,100.40 = 6,554.40 : x
  2. Step 2: Convert to fraction form
    6,746.40/10,100.40 = 6,554.40/x
  3. Step 3: Cross multiply
    6,746.40x = 10,100.40 × 6,554.40
  4. Step 4: Simplify right side
    6,746.40x = 66,202,061.76
  5. Step 5: Solve for x
    x = 66,202,061.76/6,746.40
  6. Step 6: Final answer
    x = 9,812.95

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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.