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Finding the Fourth Proportional to 8,638.63, 11,920.86 and 5,101.16

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Solution

The fourth proportional to 8,638.63, 11,920.86 and 5,101.16 is: 7,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.63 : 11,920.86 = 5,101.16 : x
  2. Step 2: Convert to fraction form
    8,638.63/11,920.86 = 5,101.16/x
  3. Step 3: Cross multiply
    8,638.63x = 11,920.86 × 5,101.16
  4. Step 4: Simplify right side
    8,638.63x = 60,810,154.59
  5. Step 5: Solve for x
    x = 60,810,154.59/8,638.63
  6. Step 6: Final answer
    x = 7,039.33

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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.