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Finding the Fourth Proportional to 12,102.77, 16,701 and 6,798.08

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Solution

The fourth proportional to 12,102.77, 16,701 and 6,798.08 is: 9,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.77 : 16,701 = 6,798.08 : x
  2. Step 2: Convert to fraction form
    12,102.77/16,701 = 6,798.08/x
  3. Step 3: Cross multiply
    12,102.77x = 16,701 × 6,798.08
  4. Step 4: Simplify right side
    12,102.77x = 113,534,734.08
  5. Step 5: Solve for x
    x = 113,534,734.08/12,102.77
  6. Step 6: Final answer
    x = 9,380.89

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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.