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Finding the Fourth Proportional to 10,241.48, 14,134.02 and 6,209.48

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Solution

The fourth proportional to 10,241.48, 14,134.02 and 6,209.48 is: 8,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.48 : 14,134.02 = 6,209.48 : x
  2. Step 2: Convert to fraction form
    10,241.48/14,134.02 = 6,209.48/x
  3. Step 3: Cross multiply
    10,241.48x = 14,134.02 × 6,209.48
  4. Step 4: Simplify right side
    10,241.48x = 87,764,914.51
  5. Step 5: Solve for x
    x = 87,764,914.51/10,241.48
  6. Step 6: Final answer
    x = 8,569.55

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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.