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Finding the Fourth Proportional to 10,273.80, 15,402.06 and 5,332.80

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Solution

The fourth proportional to 10,273.80, 15,402.06 and 5,332.80 is: 7,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.80 : 15,402.06 = 5,332.80 : x
  2. Step 2: Convert to fraction form
    10,273.80/15,402.06 = 5,332.80/x
  3. Step 3: Cross multiply
    10,273.80x = 15,402.06 × 5,332.80
  4. Step 4: Simplify right side
    10,273.80x = 82,136,105.57
  5. Step 5: Solve for x
    x = 82,136,105.57/10,273.80
  6. Step 6: Final answer
    x = 7,994.72

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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.