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Finding the Fourth Proportional to 6,948, 10,423.12 and 4,770.72

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Solution

The fourth proportional to 6,948, 10,423.12 and 4,770.72 is: 7,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948 : 10,423.12 = 4,770.72 : x
  2. Step 2: Convert to fraction form
    6,948/10,423.12 = 4,770.72/x
  3. Step 3: Cross multiply
    6,948x = 10,423.12 × 4,770.72
  4. Step 4: Simplify right side
    6,948x = 49,725,787.05
  5. Step 5: Solve for x
    x = 49,725,787.05/6,948
  6. Step 6: Final answer
    x = 7,156.85

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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.