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Finding the Fourth Proportional to 9,301.54, 14,016.26 and 7,694.10

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Solution

The fourth proportional to 9,301.54, 14,016.26 and 7,694.10 is: 11,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.54 : 14,016.26 = 7,694.10 : x
  2. Step 2: Convert to fraction form
    9,301.54/14,016.26 = 7,694.10/x
  3. Step 3: Cross multiply
    9,301.54x = 14,016.26 × 7,694.10
  4. Step 4: Simplify right side
    9,301.54x = 107,842,397.51
  5. Step 5: Solve for x
    x = 107,842,397.51/9,301.54
  6. Step 6: Final answer
    x = 11,594.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.