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Finding the Fourth Proportional to 6,869.61, 9,474.57 and 4,770.09

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Solution

The fourth proportional to 6,869.61, 9,474.57 and 4,770.09 is: 6,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.61 : 9,474.57 = 4,770.09 : x
  2. Step 2: Convert to fraction form
    6,869.61/9,474.57 = 4,770.09/x
  3. Step 3: Cross multiply
    6,869.61x = 9,474.57 × 4,770.09
  4. Step 4: Simplify right side
    6,869.61x = 45,194,551.61
  5. Step 5: Solve for x
    x = 45,194,551.61/6,869.61
  6. Step 6: Final answer
    x = 6,578.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.