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Finding the Fourth Proportional to 12,704.13, 17,531.74 and 7,038.84

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Solution

The fourth proportional to 12,704.13, 17,531.74 and 7,038.84 is: 9,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.13 : 17,531.74 = 7,038.84 : x
  2. Step 2: Convert to fraction form
    12,704.13/17,531.74 = 7,038.84/x
  3. Step 3: Cross multiply
    12,704.13x = 17,531.74 × 7,038.84
  4. Step 4: Simplify right side
    12,704.13x = 123,403,041.78
  5. Step 5: Solve for x
    x = 123,403,041.78/12,704.13
  6. Step 6: Final answer
    x = 9,713.61

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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.