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Finding the Fourth Proportional to 13,017.54, 17,964.24 and 7,049.16

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Solution

The fourth proportional to 13,017.54, 17,964.24 and 7,049.16 is: 9,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.54 : 17,964.24 = 7,049.16 : x
  2. Step 2: Convert to fraction form
    13,017.54/17,964.24 = 7,049.16/x
  3. Step 3: Cross multiply
    13,017.54x = 17,964.24 × 7,049.16
  4. Step 4: Simplify right side
    13,017.54x = 126,632,802.04
  5. Step 5: Solve for x
    x = 126,632,802.04/13,017.54
  6. Step 6: Final answer
    x = 9,727.86

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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.