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Finding the Fourth Proportional to 10,866.60, 16,334.70 and 10,096.20

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Solution

The fourth proportional to 10,866.60, 16,334.70 and 10,096.20 is: 15,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.60 : 16,334.70 = 10,096.20 : x
  2. Step 2: Convert to fraction form
    10,866.60/16,334.70 = 10,096.20/x
  3. Step 3: Cross multiply
    10,866.60x = 16,334.70 × 10,096.20
  4. Step 4: Simplify right side
    10,866.60x = 164,918,398.14
  5. Step 5: Solve for x
    x = 164,918,398.14/10,866.60
  6. Step 6: Final answer
    x = 15,176.63

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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.