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Finding the Fourth Proportional to 10,775.43, 14,874.03 and 6,799.14

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Solution

The fourth proportional to 10,775.43, 14,874.03 and 6,799.14 is: 9,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.43 : 14,874.03 = 6,799.14 : x
  2. Step 2: Convert to fraction form
    10,775.43/14,874.03 = 6,799.14/x
  3. Step 3: Cross multiply
    10,775.43x = 14,874.03 × 6,799.14
  4. Step 4: Simplify right side
    10,775.43x = 101,130,612.33
  5. Step 5: Solve for x
    x = 101,130,612.33/10,775.43
  6. Step 6: Final answer
    x = 9,385.30

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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.