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Finding the Fourth Proportional to 12,106.40, 18,159.60 and 10,205.60

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Solution

The fourth proportional to 12,106.40, 18,159.60 and 10,205.60 is: 15,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.40 : 18,159.60 = 10,205.60 : x
  2. Step 2: Convert to fraction form
    12,106.40/18,159.60 = 10,205.60/x
  3. Step 3: Cross multiply
    12,106.40x = 18,159.60 × 10,205.60
  4. Step 4: Simplify right side
    12,106.40x = 185,329,613.76
  5. Step 5: Solve for x
    x = 185,329,613.76/12,106.40
  6. Step 6: Final answer
    x = 15,308.40

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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.