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Finding the Fourth Proportional to 9,482.25, 14,229.86 and 3,326.25

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Solution

The fourth proportional to 9,482.25, 14,229.86 and 3,326.25 is: 4,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.25 : 14,229.86 = 3,326.25 : x
  2. Step 2: Convert to fraction form
    9,482.25/14,229.86 = 3,326.25/x
  3. Step 3: Cross multiply
    9,482.25x = 14,229.86 × 3,326.25
  4. Step 4: Simplify right side
    9,482.25x = 47,332,055.19
  5. Step 5: Solve for x
    x = 47,332,055.19/9,482.25
  6. Step 6: Final answer
    x = 4,991.65

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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.