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Finding the Fourth Proportional to 19,851.84, 29,757.06 and 6,699.69

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Solution

The fourth proportional to 19,851.84, 29,757.06 and 6,699.69 is: 10,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.84 : 29,757.06 = 6,699.69 : x
  2. Step 2: Convert to fraction form
    19,851.84/29,757.06 = 6,699.69/x
  3. Step 3: Cross multiply
    19,851.84x = 29,757.06 × 6,699.69
  4. Step 4: Simplify right side
    19,851.84x = 199,363,077.31
  5. Step 5: Solve for x
    x = 199,363,077.31/19,851.84
  6. Step 6: Final answer
    x = 10,042.55

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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.