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Finding the Fourth Proportional to 8,165.98, 11,270.09 and 4,809.10

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Solution

The fourth proportional to 8,165.98, 11,270.09 and 4,809.10 is: 6,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.98 : 11,270.09 = 4,809.10 : x
  2. Step 2: Convert to fraction form
    8,165.98/11,270.09 = 4,809.10/x
  3. Step 3: Cross multiply
    8,165.98x = 11,270.09 × 4,809.10
  4. Step 4: Simplify right side
    8,165.98x = 54,198,989.82
  5. Step 5: Solve for x
    x = 54,198,989.82/8,165.98
  6. Step 6: Final answer
    x = 6,637.17

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Half scale
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Double scale
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Similar ratio
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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.