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Finding the Fourth Proportional to 7,705.66, 10,633.78 and 4,168.88

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Solution

The fourth proportional to 7,705.66, 10,633.78 and 4,168.88 is: 5,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.66 : 10,633.78 = 4,168.88 : x
  2. Step 2: Convert to fraction form
    7,705.66/10,633.78 = 4,168.88/x
  3. Step 3: Cross multiply
    7,705.66x = 10,633.78 × 4,168.88
  4. Step 4: Simplify right side
    7,705.66x = 44,330,952.77
  5. Step 5: Solve for x
    x = 44,330,952.77/7,705.66
  6. Step 6: Final answer
    x = 5,753.04

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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.