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Finding the Fourth Proportional to 9,965.27, 13,752.07 and 5,489.02

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Solution

The fourth proportional to 9,965.27, 13,752.07 and 5,489.02 is: 7,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.27 : 13,752.07 = 5,489.02 : x
  2. Step 2: Convert to fraction form
    9,965.27/13,752.07 = 5,489.02/x
  3. Step 3: Cross multiply
    9,965.27x = 13,752.07 × 5,489.02
  4. Step 4: Simplify right side
    9,965.27x = 75,485,328.82
  5. Step 5: Solve for x
    x = 75,485,328.82/9,965.27
  6. Step 6: Final answer
    x = 7,574.84

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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.