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Finding the Fourth Proportional to 6,555, 9,045.35 and 4,569.82

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Solution

The fourth proportional to 6,555, 9,045.35 and 4,569.82 is: 6,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555 : 9,045.35 = 4,569.82 : x
  2. Step 2: Convert to fraction form
    6,555/9,045.35 = 4,569.82/x
  3. Step 3: Cross multiply
    6,555x = 9,045.35 × 4,569.82
  4. Step 4: Simplify right side
    6,555x = 41,335,621.34
  5. Step 5: Solve for x
    x = 41,335,621.34/6,555
  6. Step 6: Final answer
    x = 6,305.97

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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.