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Finding the Fourth Proportional to 12,101.70, 16,700.94 and 6,798.18

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Solution

The fourth proportional to 12,101.70, 16,700.94 and 6,798.18 is: 9,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.70 : 16,700.94 = 6,798.18 : x
  2. Step 2: Convert to fraction form
    12,101.70/16,700.94 = 6,798.18/x
  3. Step 3: Cross multiply
    12,101.70x = 16,700.94 × 6,798.18
  4. Step 4: Simplify right side
    12,101.70x = 113,535,996.29
  5. Step 5: Solve for x
    x = 113,535,996.29/12,101.70
  6. Step 6: Final answer
    x = 9,381.82

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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.