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Finding the Fourth Proportional to 9,991.90, 13,788.87 and 5,454.58

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Solution

The fourth proportional to 9,991.90, 13,788.87 and 5,454.58 is: 7,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.90 : 13,788.87 = 5,454.58 : x
  2. Step 2: Convert to fraction form
    9,991.90/13,788.87 = 5,454.58/x
  3. Step 3: Cross multiply
    9,991.90x = 13,788.87 × 5,454.58
  4. Step 4: Simplify right side
    9,991.90x = 75,212,494.52
  5. Step 5: Solve for x
    x = 75,212,494.52/9,991.90
  6. Step 6: Final answer
    x = 7,527.35

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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.