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Finding the Fourth Proportional to 5,146.92, 7,102.62 and 3,051

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Solution

The fourth proportional to 5,146.92, 7,102.62 and 3,051 is: 4,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.92 : 7,102.62 = 3,051 : x
  2. Step 2: Convert to fraction form
    5,146.92/7,102.62 = 3,051/x
  3. Step 3: Cross multiply
    5,146.92x = 7,102.62 × 3,051
  4. Step 4: Simplify right side
    5,146.92x = 21,670,093.62
  5. Step 5: Solve for x
    x = 21,670,093.62/5,146.92
  6. Step 6: Final answer
    x = 4,210.30

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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.