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Finding the Fourth Proportional to 7,404.92, 10,219.10 and 4,261.12

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Solution

The fourth proportional to 7,404.92, 10,219.10 and 4,261.12 is: 5,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.92 : 10,219.10 = 4,261.12 : x
  2. Step 2: Convert to fraction form
    7,404.92/10,219.10 = 4,261.12/x
  3. Step 3: Cross multiply
    7,404.92x = 10,219.10 × 4,261.12
  4. Step 4: Simplify right side
    7,404.92x = 43,544,811.39
  5. Step 5: Solve for x
    x = 43,544,811.39/7,404.92
  6. Step 6: Final answer
    x = 5,880.52

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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.