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Finding the Fourth Proportional to 11,502.33, 15,857.15 and 9,726.81

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Solution

The fourth proportional to 11,502.33, 15,857.15 and 9,726.81 is: 13,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.33 : 15,857.15 = 9,726.81 : x
  2. Step 2: Convert to fraction form
    11,502.33/15,857.15 = 9,726.81/x
  3. Step 3: Cross multiply
    11,502.33x = 15,857.15 × 9,726.81
  4. Step 4: Simplify right side
    11,502.33x = 154,239,436.56
  5. Step 5: Solve for x
    x = 154,239,436.56/11,502.33
  6. Step 6: Final answer
    x = 13,409.41

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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.