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Finding the Fourth Proportional to 9,982.48, 13,772.48 and 6,448.08

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Solution

The fourth proportional to 9,982.48, 13,772.48 and 6,448.08 is: 8,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.48 : 13,772.48 = 6,448.08 : x
  2. Step 2: Convert to fraction form
    9,982.48/13,772.48 = 6,448.08/x
  3. Step 3: Cross multiply
    9,982.48x = 13,772.48 × 6,448.08
  4. Step 4: Simplify right side
    9,982.48x = 88,806,052.84
  5. Step 5: Solve for x
    x = 88,806,052.84/9,982.48
  6. Step 6: Final answer
    x = 8,896.19

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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.