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Finding the Fourth Proportional to 12,099.84, 18,153 and 6,909.36

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Solution

The fourth proportional to 12,099.84, 18,153 and 6,909.36 is: 10,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.84 : 18,153 = 6,909.36 : x
  2. Step 2: Convert to fraction form
    12,099.84/18,153 = 6,909.36/x
  3. Step 3: Cross multiply
    12,099.84x = 18,153 × 6,909.36
  4. Step 4: Simplify right side
    12,099.84x = 125,425,612.08
  5. Step 5: Solve for x
    x = 125,425,612.08/12,099.84
  6. Step 6: Final answer
    x = 10,365.89

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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.