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Finding the Fourth Proportional to 14,716.84, 20,315.13 and 9,053.86

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Solution

The fourth proportional to 14,716.84, 20,315.13 and 9,053.86 is: 12,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.84 : 20,315.13 = 9,053.86 : x
  2. Step 2: Convert to fraction form
    14,716.84/20,315.13 = 9,053.86/x
  3. Step 3: Cross multiply
    14,716.84x = 20,315.13 × 9,053.86
  4. Step 4: Simplify right side
    14,716.84x = 183,930,342.90
  5. Step 5: Solve for x
    x = 183,930,342.90/14,716.84
  6. Step 6: Final answer
    x = 12,497.95

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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.