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Finding the Fourth Proportional to 16,648.19, 24,984.57 and 7,883.09

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Solution

The fourth proportional to 16,648.19, 24,984.57 and 7,883.09 is: 11,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.19 : 24,984.57 = 7,883.09 : x
  2. Step 2: Convert to fraction form
    16,648.19/24,984.57 = 7,883.09/x
  3. Step 3: Cross multiply
    16,648.19x = 24,984.57 × 7,883.09
  4. Step 4: Simplify right side
    16,648.19x = 196,955,567.91
  5. Step 5: Solve for x
    x = 196,955,567.91/16,648.19
  6. Step 6: Final answer
    x = 11,830.45

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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.