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Finding the Fourth Proportional to 6,584.02, 9,085.90 and 3,599.80

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Solution

The fourth proportional to 6,584.02, 9,085.90 and 3,599.80 is: 4,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.02 : 9,085.90 = 3,599.80 : x
  2. Step 2: Convert to fraction form
    6,584.02/9,085.90 = 3,599.80/x
  3. Step 3: Cross multiply
    6,584.02x = 9,085.90 × 3,599.80
  4. Step 4: Simplify right side
    6,584.02x = 32,707,422.82
  5. Step 5: Solve for x
    x = 32,707,422.82/6,584.02
  6. Step 6: Final answer
    x = 4,967.70

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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.