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Finding the Fourth Proportional to 6,948.92, 10,406.58 and 4,871

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Solution

The fourth proportional to 6,948.92, 10,406.58 and 4,871 is: 7,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.92 : 10,406.58 = 4,871 : x
  2. Step 2: Convert to fraction form
    6,948.92/10,406.58 = 4,871/x
  3. Step 3: Cross multiply
    6,948.92x = 10,406.58 × 4,871
  4. Step 4: Simplify right side
    6,948.92x = 50,690,451.18
  5. Step 5: Solve for x
    x = 50,690,451.18/6,948.92
  6. Step 6: Final answer
    x = 7,294.72

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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.