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Finding the Fourth Proportional to 6,395.84, 9,593.77 and 3,106.12

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Solution

The fourth proportional to 6,395.84, 9,593.77 and 3,106.12 is: 4,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.84 : 9,593.77 = 3,106.12 : x
  2. Step 2: Convert to fraction form
    6,395.84/9,593.77 = 3,106.12/x
  3. Step 3: Cross multiply
    6,395.84x = 9,593.77 × 3,106.12
  4. Step 4: Simplify right side
    6,395.84x = 29,799,369.12
  5. Step 5: Solve for x
    x = 29,799,369.12/6,395.84
  6. Step 6: Final answer
    x = 4,659.18

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.