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Finding the Fourth Proportional to 6,948.90, 10,402.20 and 4,751.46

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Solution

The fourth proportional to 6,948.90, 10,402.20 and 4,751.46 is: 7,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.90 : 10,402.20 = 4,751.46 : x
  2. Step 2: Convert to fraction form
    6,948.90/10,402.20 = 4,751.46/x
  3. Step 3: Cross multiply
    6,948.90x = 10,402.20 × 4,751.46
  4. Step 4: Simplify right side
    6,948.90x = 49,425,637.21
  5. Step 5: Solve for x
    x = 49,425,637.21/6,948.90
  6. Step 6: Final answer
    x = 7,112.73

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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.