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Finding the Fourth Proportional to 14,470.84, 19,970.18 and 8,097.24

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Solution

The fourth proportional to 14,470.84, 19,970.18 and 8,097.24 is: 11,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.84 : 19,970.18 = 8,097.24 : x
  2. Step 2: Convert to fraction form
    14,470.84/19,970.18 = 8,097.24/x
  3. Step 3: Cross multiply
    14,470.84x = 19,970.18 × 8,097.24
  4. Step 4: Simplify right side
    14,470.84x = 161,703,340.30
  5. Step 5: Solve for x
    x = 161,703,340.30/14,470.84
  6. Step 6: Final answer
    x = 11,174.43

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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.