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Finding the Fourth Proportional to 6,948.64, 10,420.50 and 2,564.92

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Solution

The fourth proportional to 6,948.64, 10,420.50 and 2,564.92 is: 3,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.64 : 10,420.50 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    6,948.64/10,420.50 = 2,564.92/x
  3. Step 3: Cross multiply
    6,948.64x = 10,420.50 × 2,564.92
  4. Step 4: Simplify right side
    6,948.64x = 26,727,748.86
  5. Step 5: Solve for x
    x = 26,727,748.86/6,948.64
  6. Step 6: Final answer
    x = 3,846.47

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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.