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Finding the Fourth Proportional to 7,202.52, 10,803.76 and 4,748.29

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Solution

The fourth proportional to 7,202.52, 10,803.76 and 4,748.29 is: 7,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.52 : 10,803.76 = 4,748.29 : x
  2. Step 2: Convert to fraction form
    7,202.52/10,803.76 = 4,748.29/x
  3. Step 3: Cross multiply
    7,202.52x = 10,803.76 × 4,748.29
  4. Step 4: Simplify right side
    7,202.52x = 51,299,385.57
  5. Step 5: Solve for x
    x = 51,299,385.57/7,202.52
  6. Step 6: Final answer
    x = 7,122.42

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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.