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Finding the Fourth Proportional to 6,383.61, 8,802.12 and 4,494.59

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Solution

The fourth proportional to 6,383.61, 8,802.12 and 4,494.59 is: 6,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.61 : 8,802.12 = 4,494.59 : x
  2. Step 2: Convert to fraction form
    6,383.61/8,802.12 = 4,494.59/x
  3. Step 3: Cross multiply
    6,383.61x = 8,802.12 × 4,494.59
  4. Step 4: Simplify right side
    6,383.61x = 39,561,901.10
  5. Step 5: Solve for x
    x = 39,561,901.10/6,383.61
  6. Step 6: Final answer
    x = 6,197.42

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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.