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Finding the Fourth Proportional to 6,582.47, 9,863.12 and 5,259.33

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Solution

The fourth proportional to 6,582.47, 9,863.12 and 5,259.33 is: 7,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.47 : 9,863.12 = 5,259.33 : x
  2. Step 2: Convert to fraction form
    6,582.47/9,863.12 = 5,259.33/x
  3. Step 3: Cross multiply
    6,582.47x = 9,863.12 × 5,259.33
  4. Step 4: Simplify right side
    6,582.47x = 51,873,386.47
  5. Step 5: Solve for x
    x = 51,873,386.47/6,582.47
  6. Step 6: Final answer
    x = 7,880.54

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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.