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Finding the Fourth Proportional to 7,494.59, 10,342.53 and 4,137.40

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Solution

The fourth proportional to 7,494.59, 10,342.53 and 4,137.40 is: 5,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.59 : 10,342.53 = 4,137.40 : x
  2. Step 2: Convert to fraction form
    7,494.59/10,342.53 = 4,137.40/x
  3. Step 3: Cross multiply
    7,494.59x = 10,342.53 × 4,137.40
  4. Step 4: Simplify right side
    7,494.59x = 42,791,183.62
  5. Step 5: Solve for x
    x = 42,791,183.62/7,494.59
  6. Step 6: Final answer
    x = 5,709.61

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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.