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Finding the Fourth Proportional to 10,923.30, 16,384.95 and 7,229.70

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Solution

The fourth proportional to 10,923.30, 16,384.95 and 7,229.70 is: 10,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.30 : 16,384.95 = 7,229.70 : x
  2. Step 2: Convert to fraction form
    10,923.30/16,384.95 = 7,229.70/x
  3. Step 3: Cross multiply
    10,923.30x = 16,384.95 × 7,229.70
  4. Step 4: Simplify right side
    10,923.30x = 118,458,273.02
  5. Step 5: Solve for x
    x = 118,458,273.02/10,923.30
  6. Step 6: Final answer
    x = 10,844.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.