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Finding the Fourth Proportional to 6,583.86, 9,820.26 and 5,598.90

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Solution

The fourth proportional to 6,583.86, 9,820.26 and 5,598.90 is: 8,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.86 : 9,820.26 = 5,598.90 : x
  2. Step 2: Convert to fraction form
    6,583.86/9,820.26 = 5,598.90/x
  3. Step 3: Cross multiply
    6,583.86x = 9,820.26 × 5,598.90
  4. Step 4: Simplify right side
    6,583.86x = 54,982,653.71
  5. Step 5: Solve for x
    x = 54,982,653.71/6,583.86
  6. Step 6: Final answer
    x = 8,351.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.