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Finding the Fourth Proportional to 10,480.44, 14,469 and 6,948.45

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Solution

The fourth proportional to 10,480.44, 14,469 and 6,948.45 is: 9,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.44 : 14,469 = 6,948.45 : x
  2. Step 2: Convert to fraction form
    10,480.44/14,469 = 6,948.45/x
  3. Step 3: Cross multiply
    10,480.44x = 14,469 × 6,948.45
  4. Step 4: Simplify right side
    10,480.44x = 100,537,123.05
  5. Step 5: Solve for x
    x = 100,537,123.05/10,480.44
  6. Step 6: Final answer
    x = 9,592.83

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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.