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Finding the Fourth Proportional to 9,582.43, 13,223.74 and 5,390.68

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Solution

The fourth proportional to 9,582.43, 13,223.74 and 5,390.68 is: 7,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.43 : 13,223.74 = 5,390.68 : x
  2. Step 2: Convert to fraction form
    9,582.43/13,223.74 = 5,390.68/x
  3. Step 3: Cross multiply
    9,582.43x = 13,223.74 × 5,390.68
  4. Step 4: Simplify right side
    9,582.43x = 71,284,943.69
  5. Step 5: Solve for x
    x = 71,284,943.69/9,582.43
  6. Step 6: Final answer
    x = 7,439.13

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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.