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Finding the Fourth Proportional to 9,965.32, 13,752.16 and 5,489.08

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Solution

The fourth proportional to 9,965.32, 13,752.16 and 5,489.08 is: 7,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.32 : 13,752.16 = 5,489.08 : x
  2. Step 2: Convert to fraction form
    9,965.32/13,752.16 = 5,489.08/x
  3. Step 3: Cross multiply
    9,965.32x = 13,752.16 × 5,489.08
  4. Step 4: Simplify right side
    9,965.32x = 75,486,744.26
  5. Step 5: Solve for x
    x = 75,486,744.26/9,965.32
  6. Step 6: Final answer
    x = 7,574.94

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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.