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Finding the Fourth Proportional to 9,971.29, 13,759.87 and 5,494.94

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Solution

The fourth proportional to 9,971.29, 13,759.87 and 5,494.94 is: 7,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.29 : 13,759.87 = 5,494.94 : x
  2. Step 2: Convert to fraction form
    9,971.29/13,759.87 = 5,494.94/x
  3. Step 3: Cross multiply
    9,971.29x = 13,759.87 × 5,494.94
  4. Step 4: Simplify right side
    9,971.29x = 75,609,660.06
  5. Step 5: Solve for x
    x = 75,609,660.06/9,971.29
  6. Step 6: Final answer
    x = 7,582.74

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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.