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Finding the Fourth Proportional to 17,097.40, 25,642.86 and 6,001.48

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Solution

The fourth proportional to 17,097.40, 25,642.86 and 6,001.48 is: 9,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.40 : 25,642.86 = 6,001.48 : x
  2. Step 2: Convert to fraction form
    17,097.40/25,642.86 = 6,001.48/x
  3. Step 3: Cross multiply
    17,097.40x = 25,642.86 × 6,001.48
  4. Step 4: Simplify right side
    17,097.40x = 153,895,111.43
  5. Step 5: Solve for x
    x = 153,895,111.43/17,097.40
  6. Step 6: Final answer
    x = 9,001.08

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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.