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Finding the Fourth Proportional to 6,377.52, 9,558.72 and 3,603

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Solution

The fourth proportional to 6,377.52, 9,558.72 and 3,603 is: 5,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.52 : 9,558.72 = 3,603 : x
  2. Step 2: Convert to fraction form
    6,377.52/9,558.72 = 3,603/x
  3. Step 3: Cross multiply
    6,377.52x = 9,558.72 × 3,603
  4. Step 4: Simplify right side
    6,377.52x = 34,440,068.16
  5. Step 5: Solve for x
    x = 34,440,068.16/6,377.52
  6. Step 6: Final answer
    x = 5,400.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.