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Finding the Fourth Proportional to 6,171.68, 9,257.12 and 2,275.76

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Solution

The fourth proportional to 6,171.68, 9,257.12 and 2,275.76 is: 3,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.68 : 9,257.12 = 2,275.76 : x
  2. Step 2: Convert to fraction form
    6,171.68/9,257.12 = 2,275.76/x
  3. Step 3: Cross multiply
    6,171.68x = 9,257.12 × 2,275.76
  4. Step 4: Simplify right side
    6,171.68x = 21,066,983.41
  5. Step 5: Solve for x
    x = 21,066,983.41/6,171.68
  6. Step 6: Final answer
    x = 3,413.49

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Half scale
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Double scale
Find fourth proportional to 6,172.68, 9,258.62 and 2,276.76
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.