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Finding the Fourth Proportional to 12,597.74, 17,386.63 and 7,294.22

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Solution

The fourth proportional to 12,597.74, 17,386.63 and 7,294.22 is: 10,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.74 : 17,386.63 = 7,294.22 : x
  2. Step 2: Convert to fraction form
    12,597.74/17,386.63 = 7,294.22/x
  3. Step 3: Cross multiply
    12,597.74x = 17,386.63 × 7,294.22
  4. Step 4: Simplify right side
    12,597.74x = 126,821,904.28
  5. Step 5: Solve for x
    x = 126,821,904.28/12,597.74
  6. Step 6: Final answer
    x = 10,067.04

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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.