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Finding the Fourth Proportional to 6,532.54, 9,792.09 and 2,582.19

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Solution

The fourth proportional to 6,532.54, 9,792.09 and 2,582.19 is: 3,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.54 : 9,792.09 = 2,582.19 : x
  2. Step 2: Convert to fraction form
    6,532.54/9,792.09 = 2,582.19/x
  3. Step 3: Cross multiply
    6,532.54x = 9,792.09 × 2,582.19
  4. Step 4: Simplify right side
    6,532.54x = 25,285,036.88
  5. Step 5: Solve for x
    x = 25,285,036.88/6,532.54
  6. Step 6: Final answer
    x = 3,870.63

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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.