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Finding the Fourth Proportional to 8,167.77, 11,271.99 and 4,809.84

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Solution

The fourth proportional to 8,167.77, 11,271.99 and 4,809.84 is: 6,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.77 : 11,271.99 = 4,809.84 : x
  2. Step 2: Convert to fraction form
    8,167.77/11,271.99 = 4,809.84/x
  3. Step 3: Cross multiply
    8,167.77x = 11,271.99 × 4,809.84
  4. Step 4: Simplify right side
    8,167.77x = 54,216,468.38
  5. Step 5: Solve for x
    x = 54,216,468.38/8,167.77
  6. Step 6: Final answer
    x = 6,637.85

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Half scale
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Double scale
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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.