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Finding the Fourth Proportional to 14,191.90, 19,584.90 and 7,904.29

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Solution

The fourth proportional to 14,191.90, 19,584.90 and 7,904.29 is: 10,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.90 : 19,584.90 = 7,904.29 : x
  2. Step 2: Convert to fraction form
    14,191.90/19,584.90 = 7,904.29/x
  3. Step 3: Cross multiply
    14,191.90x = 19,584.90 × 7,904.29
  4. Step 4: Simplify right side
    14,191.90x = 154,804,729.22
  5. Step 5: Solve for x
    x = 154,804,729.22/14,191.90
  6. Step 6: Final answer
    x = 10,907.96

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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.