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Finding the Fourth Proportional to 6,298.01, 9,484.52 and 5,486.09

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Solution

The fourth proportional to 6,298.01, 9,484.52 and 5,486.09 is: 8,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.01 : 9,484.52 = 5,486.09 : x
  2. Step 2: Convert to fraction form
    6,298.01/9,484.52 = 5,486.09/x
  3. Step 3: Cross multiply
    6,298.01x = 9,484.52 × 5,486.09
  4. Step 4: Simplify right side
    6,298.01x = 52,032,930.33
  5. Step 5: Solve for x
    x = 52,032,930.33/6,298.01
  6. Step 6: Final answer
    x = 8,261.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.