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Finding the Fourth Proportional to 9,947.88, 13,713.48 and 7,110.18

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Solution

The fourth proportional to 9,947.88, 13,713.48 and 7,110.18 is: 9,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.88 : 13,713.48 = 7,110.18 : x
  2. Step 2: Convert to fraction form
    9,947.88/13,713.48 = 7,110.18/x
  3. Step 3: Cross multiply
    9,947.88x = 13,713.48 × 7,110.18
  4. Step 4: Simplify right side
    9,947.88x = 97,505,311.23
  5. Step 5: Solve for x
    x = 97,505,311.23/9,947.88
  6. Step 6: Final answer
    x = 9,801.62

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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.