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Finding the Fourth Proportional to 11,424.37, 15,765.84 and 6,948.31

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Solution

The fourth proportional to 11,424.37, 15,765.84 and 6,948.31 is: 9,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.37 : 15,765.84 = 6,948.31 : x
  2. Step 2: Convert to fraction form
    11,424.37/15,765.84 = 6,948.31/x
  3. Step 3: Cross multiply
    11,424.37x = 15,765.84 × 6,948.31
  4. Step 4: Simplify right side
    11,424.37x = 109,545,943.73
  5. Step 5: Solve for x
    x = 109,545,943.73/11,424.37
  6. Step 6: Final answer
    x = 9,588.80

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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.