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Finding the Fourth Proportional to 11,967.92, 16,522.80 and 10,637.78

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Solution

The fourth proportional to 11,967.92, 16,522.80 and 10,637.78 is: 14,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.92 : 16,522.80 = 10,637.78 : x
  2. Step 2: Convert to fraction form
    11,967.92/16,522.80 = 10,637.78/x
  3. Step 3: Cross multiply
    11,967.92x = 16,522.80 × 10,637.78
  4. Step 4: Simplify right side
    11,967.92x = 175,765,828.77
  5. Step 5: Solve for x
    x = 175,765,828.77/11,967.92
  6. Step 6: Final answer
    x = 14,686.42

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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.