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Finding the Fourth Proportional to 8,331.77, 11,499.10 and 4,794.30

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Solution

The fourth proportional to 8,331.77, 11,499.10 and 4,794.30 is: 6,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.77 : 11,499.10 = 4,794.30 : x
  2. Step 2: Convert to fraction form
    8,331.77/11,499.10 = 4,794.30/x
  3. Step 3: Cross multiply
    8,331.77x = 11,499.10 × 4,794.30
  4. Step 4: Simplify right side
    8,331.77x = 55,130,123.14
  5. Step 5: Solve for x
    x = 55,130,123.14/8,331.77
  6. Step 6: Final answer
    x = 6,616.85

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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.