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Finding the Fourth Proportional to 6,948.66, 10,421.74 and 3,437.54

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Solution

The fourth proportional to 6,948.66, 10,421.74 and 3,437.54 is: 5,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.66 : 10,421.74 = 3,437.54 : x
  2. Step 2: Convert to fraction form
    6,948.66/10,421.74 = 3,437.54/x
  3. Step 3: Cross multiply
    6,948.66x = 10,421.74 × 3,437.54
  4. Step 4: Simplify right side
    6,948.66x = 35,825,129.72
  5. Step 5: Solve for x
    x = 35,825,129.72/6,948.66
  6. Step 6: Final answer
    x = 5,155.69

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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.