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Finding the Fourth Proportional to 15,349.14, 23,031 and 7,952.22

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Solution

The fourth proportional to 15,349.14, 23,031 and 7,952.22 is: 11,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.14 : 23,031 = 7,952.22 : x
  2. Step 2: Convert to fraction form
    15,349.14/23,031 = 7,952.22/x
  3. Step 3: Cross multiply
    15,349.14x = 23,031 × 7,952.22
  4. Step 4: Simplify right side
    15,349.14x = 183,147,578.82
  5. Step 5: Solve for x
    x = 183,147,578.82/15,349.14
  6. Step 6: Final answer
    x = 11,932.11

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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.