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Finding the Fourth Proportional to 6,695.20, 10,053.60 and 5,053.60

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Solution

The fourth proportional to 6,695.20, 10,053.60 and 5,053.60 is: 7,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.20 : 10,053.60 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    6,695.20/10,053.60 = 5,053.60/x
  3. Step 3: Cross multiply
    6,695.20x = 10,053.60 × 5,053.60
  4. Step 4: Simplify right side
    6,695.20x = 50,806,872.96
  5. Step 5: Solve for x
    x = 50,806,872.96/6,695.20
  6. Step 6: Final answer
    x = 7,588.55

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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.