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Finding the Fourth Proportional to 14,191.80, 19,584.75 and 7,904.17

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Solution

The fourth proportional to 14,191.80, 19,584.75 and 7,904.17 is: 10,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.80 : 19,584.75 = 7,904.17 : x
  2. Step 2: Convert to fraction form
    14,191.80/19,584.75 = 7,904.17/x
  3. Step 3: Cross multiply
    14,191.80x = 19,584.75 × 7,904.17
  4. Step 4: Simplify right side
    14,191.80x = 154,801,193.41
  5. Step 5: Solve for x
    x = 154,801,193.41/14,191.80
  6. Step 6: Final answer
    x = 10,907.79

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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.