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Finding the Fourth Proportional to 14,649.29, 20,216.09 and 7,934.93

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Solution

The fourth proportional to 14,649.29, 20,216.09 and 7,934.93 is: 10,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.29 : 20,216.09 = 7,934.93 : x
  2. Step 2: Convert to fraction form
    14,649.29/20,216.09 = 7,934.93/x
  3. Step 3: Cross multiply
    14,649.29x = 20,216.09 × 7,934.93
  4. Step 4: Simplify right side
    14,649.29x = 160,413,118.27
  5. Step 5: Solve for x
    x = 160,413,118.27/14,649.29
  6. Step 6: Final answer
    x = 10,950.24

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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.