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Finding the Fourth Proportional to 6,097.97, 8,415.22 and 3,303.47

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Solution

The fourth proportional to 6,097.97, 8,415.22 and 3,303.47 is: 4,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.97 : 8,415.22 = 3,303.47 : x
  2. Step 2: Convert to fraction form
    6,097.97/8,415.22 = 3,303.47/x
  3. Step 3: Cross multiply
    6,097.97x = 8,415.22 × 3,303.47
  4. Step 4: Simplify right side
    6,097.97x = 27,799,410.30
  5. Step 5: Solve for x
    x = 27,799,410.30/6,097.97
  6. Step 6: Final answer
    x = 4,558.80

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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.