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Finding the Fourth Proportional to 11,524.65, 15,898.19 and 6,741.47

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Solution

The fourth proportional to 11,524.65, 15,898.19 and 6,741.47 is: 9,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.65 : 15,898.19 = 6,741.47 : x
  2. Step 2: Convert to fraction form
    11,524.65/15,898.19 = 6,741.47/x
  3. Step 3: Cross multiply
    11,524.65x = 15,898.19 × 6,741.47
  4. Step 4: Simplify right side
    11,524.65x = 107,177,057.74
  5. Step 5: Solve for x
    x = 107,177,057.74/11,524.65
  6. Step 6: Final answer
    x = 9,299.81

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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.