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Finding the Fourth Proportional to 14,570.46, 21,808.68 and 7,540.80

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Solution

The fourth proportional to 14,570.46, 21,808.68 and 7,540.80 is: 11,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.46 : 21,808.68 = 7,540.80 : x
  2. Step 2: Convert to fraction form
    14,570.46/21,808.68 = 7,540.80/x
  3. Step 3: Cross multiply
    14,570.46x = 21,808.68 × 7,540.80
  4. Step 4: Simplify right side
    14,570.46x = 164,454,894.14
  5. Step 5: Solve for x
    x = 164,454,894.14/14,570.46
  6. Step 6: Final answer
    x = 11,286.87

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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.