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Finding the Fourth Proportional to 9,410.99, 12,987.21 and 5,219.24

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Solution

The fourth proportional to 9,410.99, 12,987.21 and 5,219.24 is: 7,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.99 : 12,987.21 = 5,219.24 : x
  2. Step 2: Convert to fraction form
    9,410.99/12,987.21 = 5,219.24/x
  3. Step 3: Cross multiply
    9,410.99x = 12,987.21 × 5,219.24
  4. Step 4: Simplify right side
    9,410.99x = 67,783,365.92
  5. Step 5: Solve for x
    x = 67,783,365.92/9,410.99
  6. Step 6: Final answer
    x = 7,202.58

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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.