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Finding the Fourth Proportional to 6,463.40, 9,699.93 and 4,801.37

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Solution

The fourth proportional to 6,463.40, 9,699.93 and 4,801.37 is: 7,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.40 : 9,699.93 = 4,801.37 : x
  2. Step 2: Convert to fraction form
    6,463.40/9,699.93 = 4,801.37/x
  3. Step 3: Cross multiply
    6,463.40x = 9,699.93 × 4,801.37
  4. Step 4: Simplify right side
    6,463.40x = 46,572,886.40
  5. Step 5: Solve for x
    x = 46,572,886.40/6,463.40
  6. Step 6: Final answer
    x = 7,205.63

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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.