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Finding the Fourth Proportional to 11,574.87, 17,357.12 and 6,897.09

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Solution

The fourth proportional to 11,574.87, 17,357.12 and 6,897.09 is: 10,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.87 : 17,357.12 = 6,897.09 : x
  2. Step 2: Convert to fraction form
    11,574.87/17,357.12 = 6,897.09/x
  3. Step 3: Cross multiply
    11,574.87x = 17,357.12 × 6,897.09
  4. Step 4: Simplify right side
    11,574.87x = 119,713,618.78
  5. Step 5: Solve for x
    x = 119,713,618.78/11,574.87
  6. Step 6: Final answer
    x = 10,342.55

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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.