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Finding the Fourth Proportional to 9,684.52, 14,524.08 and 3,443.74

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Solution

The fourth proportional to 9,684.52, 14,524.08 and 3,443.74 is: 5,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.52 : 14,524.08 = 3,443.74 : x
  2. Step 2: Convert to fraction form
    9,684.52/14,524.08 = 3,443.74/x
  3. Step 3: Cross multiply
    9,684.52x = 14,524.08 × 3,443.74
  4. Step 4: Simplify right side
    9,684.52x = 50,017,155.26
  5. Step 5: Solve for x
    x = 50,017,155.26/9,684.52
  6. Step 6: Final answer
    x = 5,164.65

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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.