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Finding the Fourth Proportional to 6,584.09, 9,085.95 and 3,599.91

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Solution

The fourth proportional to 6,584.09, 9,085.95 and 3,599.91 is: 4,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.09 : 9,085.95 = 3,599.91 : x
  2. Step 2: Convert to fraction form
    6,584.09/9,085.95 = 3,599.91/x
  3. Step 3: Cross multiply
    6,584.09x = 9,085.95 × 3,599.91
  4. Step 4: Simplify right side
    6,584.09x = 32,708,602.26
  5. Step 5: Solve for x
    x = 32,708,602.26/6,584.09
  6. Step 6: Final answer
    x = 4,967.83

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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.