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Finding the Fourth Proportional to 8,494.90, 11,723.04 and 4,957.43

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Solution

The fourth proportional to 8,494.90, 11,723.04 and 4,957.43 is: 6,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.90 : 11,723.04 = 4,957.43 : x
  2. Step 2: Convert to fraction form
    8,494.90/11,723.04 = 4,957.43/x
  3. Step 3: Cross multiply
    8,494.90x = 11,723.04 × 4,957.43
  4. Step 4: Simplify right side
    8,494.90x = 58,116,150.19
  5. Step 5: Solve for x
    x = 58,116,150.19/8,494.90
  6. Step 6: Final answer
    x = 6,841.30

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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.