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Finding the Fourth Proportional to 6,583.47, 9,864.62 and 5,260.33

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Solution

The fourth proportional to 6,583.47, 9,864.62 and 5,260.33 is: 7,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.47 : 9,864.62 = 5,260.33 : x
  2. Step 2: Convert to fraction form
    6,583.47/9,864.62 = 5,260.33/x
  3. Step 3: Cross multiply
    6,583.47x = 9,864.62 × 5,260.33
  4. Step 4: Simplify right side
    6,583.47x = 51,891,156.52
  5. Step 5: Solve for x
    x = 51,891,156.52/6,583.47
  6. Step 6: Final answer
    x = 7,882.04

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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.