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Finding the Fourth Proportional to 22,646.71, 33,956.79 and 6,847.03

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Solution

The fourth proportional to 22,646.71, 33,956.79 and 6,847.03 is: 10,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.71 : 33,956.79 = 6,847.03 : x
  2. Step 2: Convert to fraction form
    22,646.71/33,956.79 = 6,847.03/x
  3. Step 3: Cross multiply
    22,646.71x = 33,956.79 × 6,847.03
  4. Step 4: Simplify right side
    22,646.71x = 232,503,159.83
  5. Step 5: Solve for x
    x = 232,503,159.83/22,646.71
  6. Step 6: Final answer
    x = 10,266.53

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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.