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Finding the Fourth Proportional to 10,798.74, 16,195.08 and 6,844.14

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Solution

The fourth proportional to 10,798.74, 16,195.08 and 6,844.14 is: 10,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.74 : 16,195.08 = 6,844.14 : x
  2. Step 2: Convert to fraction form
    10,798.74/16,195.08 = 6,844.14/x
  3. Step 3: Cross multiply
    10,798.74x = 16,195.08 × 6,844.14
  4. Step 4: Simplify right side
    10,798.74x = 110,841,394.83
  5. Step 5: Solve for x
    x = 110,841,394.83/10,798.74
  6. Step 6: Final answer
    x = 10,264.29

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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.