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Finding the Fourth Proportional to 6,157.90, 8,480.64 and 5,762.62

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Solution

The fourth proportional to 6,157.90, 8,480.64 and 5,762.62 is: 7,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.90 : 8,480.64 = 5,762.62 : x
  2. Step 2: Convert to fraction form
    6,157.90/8,480.64 = 5,762.62/x
  3. Step 3: Cross multiply
    6,157.90x = 8,480.64 × 5,762.62
  4. Step 4: Simplify right side
    6,157.90x = 48,870,705.68
  5. Step 5: Solve for x
    x = 48,870,705.68/6,157.90
  6. Step 6: Final answer
    x = 7,936.26

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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.