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Finding the Fourth Proportional to 12,778.16, 17,632.44 and 7,189.04

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Solution

The fourth proportional to 12,778.16, 17,632.44 and 7,189.04 is: 9,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.16 : 17,632.44 = 7,189.04 : x
  2. Step 2: Convert to fraction form
    12,778.16/17,632.44 = 7,189.04/x
  3. Step 3: Cross multiply
    12,778.16x = 17,632.44 × 7,189.04
  4. Step 4: Simplify right side
    12,778.16x = 126,760,316.46
  5. Step 5: Solve for x
    x = 126,760,316.46/12,778.16
  6. Step 6: Final answer
    x = 9,920.08

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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.