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Finding the Fourth Proportional to 28,196.97, 42,296.49 and 9,477.65

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Solution

The fourth proportional to 28,196.97, 42,296.49 and 9,477.65 is: 14,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196.97 : 42,296.49 = 9,477.65 : x
  2. Step 2: Convert to fraction form
    28,196.97/42,296.49 = 9,477.65/x
  3. Step 3: Cross multiply
    28,196.97x = 42,296.49 × 9,477.65
  4. Step 4: Simplify right side
    28,196.97x = 400,871,116.97
  5. Step 5: Solve for x
    x = 400,871,116.97/28,196.97
  6. Step 6: Final answer
    x = 14,216.82

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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.