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Finding the Fourth Proportional to 9,582.99, 13,224.51 and 5,391.24

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Solution

The fourth proportional to 9,582.99, 13,224.51 and 5,391.24 is: 7,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.99 : 13,224.51 = 5,391.24 : x
  2. Step 2: Convert to fraction form
    9,582.99/13,224.51 = 5,391.24/x
  3. Step 3: Cross multiply
    9,582.99x = 13,224.51 × 5,391.24
  4. Step 4: Simplify right side
    9,582.99x = 71,296,507.29
  5. Step 5: Solve for x
    x = 71,296,507.29/9,582.99
  6. Step 6: Final answer
    x = 7,439.90

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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.