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Finding the Fourth Proportional to 12,293.77, 16,965.24 and 6,988.24

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Solution

The fourth proportional to 12,293.77, 16,965.24 and 6,988.24 is: 9,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.77 : 16,965.24 = 6,988.24 : x
  2. Step 2: Convert to fraction form
    12,293.77/16,965.24 = 6,988.24/x
  3. Step 3: Cross multiply
    12,293.77x = 16,965.24 × 6,988.24
  4. Step 4: Simplify right side
    12,293.77x = 118,557,168.78
  5. Step 5: Solve for x
    x = 118,557,168.78/12,293.77
  6. Step 6: Final answer
    x = 9,643.68

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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.