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Finding the Fourth Proportional to 6,142.68, 9,214.02 and 2,677.50

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Solution

The fourth proportional to 6,142.68, 9,214.02 and 2,677.50 is: 4,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.68 : 9,214.02 = 2,677.50 : x
  2. Step 2: Convert to fraction form
    6,142.68/9,214.02 = 2,677.50/x
  3. Step 3: Cross multiply
    6,142.68x = 9,214.02 × 2,677.50
  4. Step 4: Simplify right side
    6,142.68x = 24,670,538.55
  5. Step 5: Solve for x
    x = 24,670,538.55/6,142.68
  6. Step 6: Final answer
    x = 4,016.25

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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.