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Finding the Fourth Proportional to 13,187.84, 19,784.04 and 6,614.24

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Solution

The fourth proportional to 13,187.84, 19,784.04 and 6,614.24 is: 9,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.84 : 19,784.04 = 6,614.24 : x
  2. Step 2: Convert to fraction form
    13,187.84/19,784.04 = 6,614.24/x
  3. Step 3: Cross multiply
    13,187.84x = 19,784.04 × 6,614.24
  4. Step 4: Simplify right side
    13,187.84x = 130,856,388.73
  5. Step 5: Solve for x
    x = 130,856,388.73/13,187.84
  6. Step 6: Final answer
    x = 9,922.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.