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Finding the Fourth Proportional to 10,080, 13,873.68 and 8,877.09

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Solution

The fourth proportional to 10,080, 13,873.68 and 8,877.09 is: 12,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 13,873.68 = 8,877.09 : x
  2. Step 2: Convert to fraction form
    10,080/13,873.68 = 8,877.09/x
  3. Step 3: Cross multiply
    10,080x = 13,873.68 × 8,877.09
  4. Step 4: Simplify right side
    10,080x = 123,157,905.99
  5. Step 5: Solve for x
    x = 123,157,905.99/10,080
  6. Step 6: Final answer
    x = 12,218.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.