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Finding the Fourth Proportional to 10,147.20, 15,200.64 and 4,300.80

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Solution

The fourth proportional to 10,147.20, 15,200.64 and 4,300.80 is: 6,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.20 : 15,200.64 = 4,300.80 : x
  2. Step 2: Convert to fraction form
    10,147.20/15,200.64 = 4,300.80/x
  3. Step 3: Cross multiply
    10,147.20x = 15,200.64 × 4,300.80
  4. Step 4: Simplify right side
    10,147.20x = 65,374,912.51
  5. Step 5: Solve for x
    x = 65,374,912.51/10,147.20
  6. Step 6: Final answer
    x = 6,442.66

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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.