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Finding the Fourth Proportional to 8,616.13, 11,894.77 and 5,798.32

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Solution

The fourth proportional to 8,616.13, 11,894.77 and 5,798.32 is: 8,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.13 : 11,894.77 = 5,798.32 : x
  2. Step 2: Convert to fraction form
    8,616.13/11,894.77 = 5,798.32/x
  3. Step 3: Cross multiply
    8,616.13x = 11,894.77 × 5,798.32
  4. Step 4: Simplify right side
    8,616.13x = 68,969,667.55
  5. Step 5: Solve for x
    x = 68,969,667.55/8,616.13
  6. Step 6: Final answer
    x = 8,004.72

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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.