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Finding the Fourth Proportional to 12,494.96, 17,243.74 and 6,830.22

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Solution

The fourth proportional to 12,494.96, 17,243.74 and 6,830.22 is: 9,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.96 : 17,243.74 = 6,830.22 : x
  2. Step 2: Convert to fraction form
    12,494.96/17,243.74 = 6,830.22/x
  3. Step 3: Cross multiply
    12,494.96x = 17,243.74 × 6,830.22
  4. Step 4: Simplify right side
    12,494.96x = 117,778,537.82
  5. Step 5: Solve for x
    x = 117,778,537.82/12,494.96
  6. Step 6: Final answer
    x = 9,426.08

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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.