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Finding the Fourth Proportional to 12,165.56, 18,256.20 and 4,374.20

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Solution

The fourth proportional to 12,165.56, 18,256.20 and 4,374.20 is: 6,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.56 : 18,256.20 = 4,374.20 : x
  2. Step 2: Convert to fraction form
    12,165.56/18,256.20 = 4,374.20/x
  3. Step 3: Cross multiply
    12,165.56x = 18,256.20 × 4,374.20
  4. Step 4: Simplify right side
    12,165.56x = 79,856,270.04
  5. Step 5: Solve for x
    x = 79,856,270.04/12,165.56
  6. Step 6: Final answer
    x = 6,564.13

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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.