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Finding the Fourth Proportional to 14,677.14, 21,965.66 and 9,337.62

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Solution

The fourth proportional to 14,677.14, 21,965.66 and 9,337.62 is: 13,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.14 : 21,965.66 = 9,337.62 : x
  2. Step 2: Convert to fraction form
    14,677.14/21,965.66 = 9,337.62/x
  3. Step 3: Cross multiply
    14,677.14x = 21,965.66 × 9,337.62
  4. Step 4: Simplify right side
    14,677.14x = 205,106,939.44
  5. Step 5: Solve for x
    x = 205,106,939.44/14,677.14
  6. Step 6: Final answer
    x = 13,974.58

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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.