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Finding the Fourth Proportional to 12,397, 18,598.20 and 4,077.76

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Solution

The fourth proportional to 12,397, 18,598.20 and 4,077.76 is: 6,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397 : 18,598.20 = 4,077.76 : x
  2. Step 2: Convert to fraction form
    12,397/18,598.20 = 4,077.76/x
  3. Step 3: Cross multiply
    12,397x = 18,598.20 × 4,077.76
  4. Step 4: Simplify right side
    12,397x = 75,838,996.03
  5. Step 5: Solve for x
    x = 75,838,996.03/12,397
  6. Step 6: Final answer
    x = 6,117.53

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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.