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Finding the Fourth Proportional to 6,147.99, 9,224.51 and 2,199.74

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Solution

The fourth proportional to 6,147.99, 9,224.51 and 2,199.74 is: 3,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.99 : 9,224.51 = 2,199.74 : x
  2. Step 2: Convert to fraction form
    6,147.99/9,224.51 = 2,199.74/x
  3. Step 3: Cross multiply
    6,147.99x = 9,224.51 × 2,199.74
  4. Step 4: Simplify right side
    6,147.99x = 20,291,466.51
  5. Step 5: Solve for x
    x = 20,291,466.51/6,147.99
  6. Step 6: Final answer
    x = 3,300.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.