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Finding the Fourth Proportional to 14,471.84, 19,966.73 and 8,097.77

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Solution

The fourth proportional to 14,471.84, 19,966.73 and 8,097.77 is: 11,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.84 : 19,966.73 = 8,097.77 : x
  2. Step 2: Convert to fraction form
    14,471.84/19,966.73 = 8,097.77/x
  3. Step 3: Cross multiply
    14,471.84x = 19,966.73 × 8,097.77
  4. Step 4: Simplify right side
    14,471.84x = 161,685,846.87
  5. Step 5: Solve for x
    x = 161,685,846.87/14,471.84
  6. Step 6: Final answer
    x = 11,172.45

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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.