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Finding the Fourth Proportional to 9,672.16, 13,348.65 and 5,694.25

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Solution

The fourth proportional to 9,672.16, 13,348.65 and 5,694.25 is: 7,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.16 : 13,348.65 = 5,694.25 : x
  2. Step 2: Convert to fraction form
    9,672.16/13,348.65 = 5,694.25/x
  3. Step 3: Cross multiply
    9,672.16x = 13,348.65 × 5,694.25
  4. Step 4: Simplify right side
    9,672.16x = 76,010,550.26
  5. Step 5: Solve for x
    x = 76,010,550.26/9,672.16
  6. Step 6: Final answer
    x = 7,858.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.