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Finding the Fourth Proportional to 12,137.60, 18,206.40 and 4,347.20

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Solution

The fourth proportional to 12,137.60, 18,206.40 and 4,347.20 is: 6,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.60 : 18,206.40 = 4,347.20 : x
  2. Step 2: Convert to fraction form
    12,137.60/18,206.40 = 4,347.20/x
  3. Step 3: Cross multiply
    12,137.60x = 18,206.40 × 4,347.20
  4. Step 4: Simplify right side
    12,137.60x = 79,146,862.08
  5. Step 5: Solve for x
    x = 79,146,862.08/12,137.60
  6. Step 6: Final answer
    x = 6,520.80

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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.