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Finding the Fourth Proportional to 9,865.48, 13,616.94 and 6,091.90

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Solution

The fourth proportional to 9,865.48, 13,616.94 and 6,091.90 is: 8,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.48 : 13,616.94 = 6,091.90 : x
  2. Step 2: Convert to fraction form
    9,865.48/13,616.94 = 6,091.90/x
  3. Step 3: Cross multiply
    9,865.48x = 13,616.94 × 6,091.90
  4. Step 4: Simplify right side
    9,865.48x = 82,953,036.79
  5. Step 5: Solve for x
    x = 82,953,036.79/9,865.48
  6. Step 6: Final answer
    x = 8,408.41

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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.