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Finding the Fourth Proportional to 10,049.73, 13,868.63 and 5,573.53

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Solution

The fourth proportional to 10,049.73, 13,868.63 and 5,573.53 is: 7,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.73 : 13,868.63 = 5,573.53 : x
  2. Step 2: Convert to fraction form
    10,049.73/13,868.63 = 5,573.53/x
  3. Step 3: Cross multiply
    10,049.73x = 13,868.63 × 5,573.53
  4. Step 4: Simplify right side
    10,049.73x = 77,297,225.36
  5. Step 5: Solve for x
    x = 77,297,225.36/10,049.73
  6. Step 6: Final answer
    x = 7,691.47

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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.