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Finding the Fourth Proportional to 13,211, 18,227.53 and 7,543.69

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Solution

The fourth proportional to 13,211, 18,227.53 and 7,543.69 is: 10,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211 : 18,227.53 = 7,543.69 : x
  2. Step 2: Convert to fraction form
    13,211/18,227.53 = 7,543.69/x
  3. Step 3: Cross multiply
    13,211x = 18,227.53 × 7,543.69
  4. Step 4: Simplify right side
    13,211x = 137,502,835.79
  5. Step 5: Solve for x
    x = 137,502,835.79/13,211
  6. Step 6: Final answer
    x = 10,408.21

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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.