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Finding the Fourth Proportional to 12,100.77, 16,698.24 and 6,796.08

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Solution

The fourth proportional to 12,100.77, 16,698.24 and 6,796.08 is: 9,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.77 : 16,698.24 = 6,796.08 : x
  2. Step 2: Convert to fraction form
    12,100.77/16,698.24 = 6,796.08/x
  3. Step 3: Cross multiply
    12,100.77x = 16,698.24 × 6,796.08
  4. Step 4: Simplify right side
    12,100.77x = 113,482,574.90
  5. Step 5: Solve for x
    x = 113,482,574.90/12,100.77
  6. Step 6: Final answer
    x = 9,378.13

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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.