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Finding the Fourth Proportional to 12,843.81, 17,722.95 and 7,178.56

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Solution

The fourth proportional to 12,843.81, 17,722.95 and 7,178.56 is: 9,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.81 : 17,722.95 = 7,178.56 : x
  2. Step 2: Convert to fraction form
    12,843.81/17,722.95 = 7,178.56/x
  3. Step 3: Cross multiply
    12,843.81x = 17,722.95 × 7,178.56
  4. Step 4: Simplify right side
    12,843.81x = 127,225,259.95
  5. Step 5: Solve for x
    x = 127,225,259.95/12,843.81
  6. Step 6: Final answer
    x = 9,905.57

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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.