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Finding the Fourth Proportional to 6,407.25, 8,842.01 and 3,463.25

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Solution

The fourth proportional to 6,407.25, 8,842.01 and 3,463.25 is: 4,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.25 : 8,842.01 = 3,463.25 : x
  2. Step 2: Convert to fraction form
    6,407.25/8,842.01 = 3,463.25/x
  3. Step 3: Cross multiply
    6,407.25x = 8,842.01 × 3,463.25
  4. Step 4: Simplify right side
    6,407.25x = 30,622,091.13
  5. Step 5: Solve for x
    x = 30,622,091.13/6,407.25
  6. Step 6: Final answer
    x = 4,779.29

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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.