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Finding the Fourth Proportional to 7,202.32, 9,939.12 and 4,015.60

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Solution

The fourth proportional to 7,202.32, 9,939.12 and 4,015.60 is: 5,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.32 : 9,939.12 = 4,015.60 : x
  2. Step 2: Convert to fraction form
    7,202.32/9,939.12 = 4,015.60/x
  3. Step 3: Cross multiply
    7,202.32x = 9,939.12 × 4,015.60
  4. Step 4: Simplify right side
    7,202.32x = 39,911,530.27
  5. Step 5: Solve for x
    x = 39,911,530.27/7,202.32
  6. Step 6: Final answer
    x = 5,541.48

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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.