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Finding the Fourth Proportional to 7,224.32, 9,967.52 and 4,080

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Solution

The fourth proportional to 7,224.32, 9,967.52 and 4,080 is: 5,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.32 : 9,967.52 = 4,080 : x
  2. Step 2: Convert to fraction form
    7,224.32/9,967.52 = 4,080/x
  3. Step 3: Cross multiply
    7,224.32x = 9,967.52 × 4,080
  4. Step 4: Simplify right side
    7,224.32x = 40,667,481.60
  5. Step 5: Solve for x
    x = 40,667,481.60/7,224.32
  6. Step 6: Final answer
    x = 5,629.25

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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.