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Finding the Fourth Proportional to 7,253.84, 10,012.20 and 5,013.20

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Solution

The fourth proportional to 7,253.84, 10,012.20 and 5,013.20 is: 6,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.84 : 10,012.20 = 5,013.20 : x
  2. Step 2: Convert to fraction form
    7,253.84/10,012.20 = 5,013.20/x
  3. Step 3: Cross multiply
    7,253.84x = 10,012.20 × 5,013.20
  4. Step 4: Simplify right side
    7,253.84x = 50,193,161.04
  5. Step 5: Solve for x
    x = 50,193,161.04/7,253.84
  6. Step 6: Final answer
    x = 6,919.53

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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.