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Finding the Fourth Proportional to 14,685.84, 22,017 and 5,324.40

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Solution

The fourth proportional to 14,685.84, 22,017 and 5,324.40 is: 7,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.84 : 22,017 = 5,324.40 : x
  2. Step 2: Convert to fraction form
    14,685.84/22,017 = 5,324.40/x
  3. Step 3: Cross multiply
    14,685.84x = 22,017 × 5,324.40
  4. Step 4: Simplify right side
    14,685.84x = 117,227,314.80
  5. Step 5: Solve for x
    x = 117,227,314.80/14,685.84
  6. Step 6: Final answer
    x = 7,982.34

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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.