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Finding the Fourth Proportional to 12,103.60, 18,106.80 and 10,478.20

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Solution

The fourth proportional to 12,103.60, 18,106.80 and 10,478.20 is: 15,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.60 : 18,106.80 = 10,478.20 : x
  2. Step 2: Convert to fraction form
    12,103.60/18,106.80 = 10,478.20/x
  3. Step 3: Cross multiply
    12,103.60x = 18,106.80 × 10,478.20
  4. Step 4: Simplify right side
    12,103.60x = 189,726,671.76
  5. Step 5: Solve for x
    x = 189,726,671.76/12,103.60
  6. Step 6: Final answer
    x = 15,675.23

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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.