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Finding the Fourth Proportional to 7,846.33, 10,845.15 and 6,894.97

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Solution

The fourth proportional to 7,846.33, 10,845.15 and 6,894.97 is: 9,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.33 : 10,845.15 = 6,894.97 : x
  2. Step 2: Convert to fraction form
    7,846.33/10,845.15 = 6,894.97/x
  3. Step 3: Cross multiply
    7,846.33x = 10,845.15 × 6,894.97
  4. Step 4: Simplify right side
    7,846.33x = 74,776,983.90
  5. Step 5: Solve for x
    x = 74,776,983.90/7,846.33
  6. Step 6: Final answer
    x = 9,530.19

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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.