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Finding the Fourth Proportional to 4,681.56, 6,463.23 and 3,734.32

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Solution

The fourth proportional to 4,681.56, 6,463.23 and 3,734.32 is: 5,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.56 : 6,463.23 = 3,734.32 : x
  2. Step 2: Convert to fraction form
    4,681.56/6,463.23 = 3,734.32/x
  3. Step 3: Cross multiply
    4,681.56x = 6,463.23 × 3,734.32
  4. Step 4: Simplify right side
    4,681.56x = 24,135,751.01
  5. Step 5: Solve for x
    x = 24,135,751.01/4,681.56
  6. Step 6: Final answer
    x = 5,155.49

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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.