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Finding the Fourth Proportional to 9,750.88, 13,456.22 and 5,502.84

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Solution

The fourth proportional to 9,750.88, 13,456.22 and 5,502.84 is: 7,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.88 : 13,456.22 = 5,502.84 : x
  2. Step 2: Convert to fraction form
    9,750.88/13,456.22 = 5,502.84/x
  3. Step 3: Cross multiply
    9,750.88x = 13,456.22 × 5,502.84
  4. Step 4: Simplify right side
    9,750.88x = 74,047,425.66
  5. Step 5: Solve for x
    x = 74,047,425.66/9,750.88
  6. Step 6: Final answer
    x = 7,593.92

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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.