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Finding the Fourth Proportional to 11,959.10, 17,935 and 9,613.54

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Solution

The fourth proportional to 11,959.10, 17,935 and 9,613.54 is: 14,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.10 : 17,935 = 9,613.54 : x
  2. Step 2: Convert to fraction form
    11,959.10/17,935 = 9,613.54/x
  3. Step 3: Cross multiply
    11,959.10x = 17,935 × 9,613.54
  4. Step 4: Simplify right side
    11,959.10x = 172,418,839.90
  5. Step 5: Solve for x
    x = 172,418,839.90/11,959.10
  6. Step 6: Final answer
    x = 14,417.38

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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.