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Finding the Fourth Proportional to 7,637.94, 10,548.96 and 6,452.94

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Solution

The fourth proportional to 7,637.94, 10,548.96 and 6,452.94 is: 8,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.94 : 10,548.96 = 6,452.94 : x
  2. Step 2: Convert to fraction form
    7,637.94/10,548.96 = 6,452.94/x
  3. Step 3: Cross multiply
    7,637.94x = 10,548.96 × 6,452.94
  4. Step 4: Simplify right side
    7,637.94x = 68,071,805.94
  5. Step 5: Solve for x
    x = 68,071,805.94/7,637.94
  6. Step 6: Final answer
    x = 8,912.33

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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.