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Finding the Fourth Proportional to 13,952.66, 19,254.57 and 7,984.04

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Solution

The fourth proportional to 13,952.66, 19,254.57 and 7,984.04 is: 11,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.66 : 19,254.57 = 7,984.04 : x
  2. Step 2: Convert to fraction form
    13,952.66/19,254.57 = 7,984.04/x
  3. Step 3: Cross multiply
    13,952.66x = 19,254.57 × 7,984.04
  4. Step 4: Simplify right side
    13,952.66x = 153,729,257.06
  5. Step 5: Solve for x
    x = 153,729,257.06/13,952.66
  6. Step 6: Final answer
    x = 11,017.92

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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.