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Finding the Fourth Proportional to 14,404, 19,869.46 and 8,434.52

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Solution

The fourth proportional to 14,404, 19,869.46 and 8,434.52 is: 11,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404 : 19,869.46 = 8,434.52 : x
  2. Step 2: Convert to fraction form
    14,404/19,869.46 = 8,434.52/x
  3. Step 3: Cross multiply
    14,404x = 19,869.46 × 8,434.52
  4. Step 4: Simplify right side
    14,404x = 167,589,357.76
  5. Step 5: Solve for x
    x = 167,589,357.76/14,404
  6. Step 6: Final answer
    x = 11,634.92

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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.