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Finding the Fourth Proportional to 9,238.66, 13,854.95 and 7,866.92

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Solution

The fourth proportional to 9,238.66, 13,854.95 and 7,866.92 is: 11,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.66 : 13,854.95 = 7,866.92 : x
  2. Step 2: Convert to fraction form
    9,238.66/13,854.95 = 7,866.92/x
  3. Step 3: Cross multiply
    9,238.66x = 13,854.95 × 7,866.92
  4. Step 4: Simplify right side
    9,238.66x = 108,995,808.06
  5. Step 5: Solve for x
    x = 108,995,808.06/9,238.66
  6. Step 6: Final answer
    x = 11,797.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.