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Finding the Fourth Proportional to 10,836.59, 16,254.88 and 9,204.54

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Solution

The fourth proportional to 10,836.59, 16,254.88 and 9,204.54 is: 13,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.59 : 16,254.88 = 9,204.54 : x
  2. Step 2: Convert to fraction form
    10,836.59/16,254.88 = 9,204.54/x
  3. Step 3: Cross multiply
    10,836.59x = 16,254.88 × 9,204.54
  4. Step 4: Simplify right side
    10,836.59x = 149,618,609.19
  5. Step 5: Solve for x
    x = 149,618,609.19/10,836.59
  6. Step 6: Final answer
    x = 13,806.80

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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.