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Finding the Fourth Proportional to 27,061.36, 40,588.44 and 9,529

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Solution

The fourth proportional to 27,061.36, 40,588.44 and 9,529 is: 14,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061.36 : 40,588.44 = 9,529 : x
  2. Step 2: Convert to fraction form
    27,061.36/40,588.44 = 9,529/x
  3. Step 3: Cross multiply
    27,061.36x = 40,588.44 × 9,529
  4. Step 4: Simplify right side
    27,061.36x = 386,767,244.76
  5. Step 5: Solve for x
    x = 386,767,244.76/27,061.36
  6. Step 6: Final answer
    x = 14,292.23

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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.