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Finding the Fourth Proportional to 12,991.65, 17,928.42 and 7,023.33

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Solution

The fourth proportional to 12,991.65, 17,928.42 and 7,023.33 is: 9,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.65 : 17,928.42 = 7,023.33 : x
  2. Step 2: Convert to fraction form
    12,991.65/17,928.42 = 7,023.33/x
  3. Step 3: Cross multiply
    12,991.65x = 17,928.42 × 7,023.33
  4. Step 4: Simplify right side
    12,991.65x = 125,917,210.04
  5. Step 5: Solve for x
    x = 125,917,210.04/12,991.65
  6. Step 6: Final answer
    x = 9,692.16

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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.