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Finding the Fourth Proportional to 9,700.09, 13,372.90 and 7,794.97

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Solution

The fourth proportional to 9,700.09, 13,372.90 and 7,794.97 is: 10,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.09 : 13,372.90 = 7,794.97 : x
  2. Step 2: Convert to fraction form
    9,700.09/13,372.90 = 7,794.97/x
  3. Step 3: Cross multiply
    9,700.09x = 13,372.90 × 7,794.97
  4. Step 4: Simplify right side
    9,700.09x = 104,241,354.31
  5. Step 5: Solve for x
    x = 104,241,354.31/9,700.09
  6. Step 6: Final answer
    x = 10,746.43

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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.