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Finding the Fourth Proportional to 9,754.29, 13,462.74 and 5,775.57

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Solution

The fourth proportional to 9,754.29, 13,462.74 and 5,775.57 is: 7,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.29 : 13,462.74 = 5,775.57 : x
  2. Step 2: Convert to fraction form
    9,754.29/13,462.74 = 5,775.57/x
  3. Step 3: Cross multiply
    9,754.29x = 13,462.74 × 5,775.57
  4. Step 4: Simplify right side
    9,754.29x = 77,754,997.26
  5. Step 5: Solve for x
    x = 77,754,997.26/9,754.29
  6. Step 6: Final answer
    x = 7,971.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.