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Finding the Fourth Proportional to 4,196.02, 6,294.03 and 2,461

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Solution

The fourth proportional to 4,196.02, 6,294.03 and 2,461 is: 3,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.02 : 6,294.03 = 2,461 : x
  2. Step 2: Convert to fraction form
    4,196.02/6,294.03 = 2,461/x
  3. Step 3: Cross multiply
    4,196.02x = 6,294.03 × 2,461
  4. Step 4: Simplify right side
    4,196.02x = 15,489,607.83
  5. Step 5: Solve for x
    x = 15,489,607.83/4,196.02
  6. Step 6: Final answer
    x = 3,691.50

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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.