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Finding the Fourth Proportional to 9,900.96, 13,659.93 and 5,648.97

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Solution

The fourth proportional to 9,900.96, 13,659.93 and 5,648.97 is: 7,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.96 : 13,659.93 = 5,648.97 : x
  2. Step 2: Convert to fraction form
    9,900.96/13,659.93 = 5,648.97/x
  3. Step 3: Cross multiply
    9,900.96x = 13,659.93 × 5,648.97
  4. Step 4: Simplify right side
    9,900.96x = 77,164,534.77
  5. Step 5: Solve for x
    x = 77,164,534.77/9,900.96
  6. Step 6: Final answer
    x = 7,793.64

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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.