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Finding the Fourth Proportional to 7,757.79, 10,705.64 and 4,732.22

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Solution

The fourth proportional to 7,757.79, 10,705.64 and 4,732.22 is: 6,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.79 : 10,705.64 = 4,732.22 : x
  2. Step 2: Convert to fraction form
    7,757.79/10,705.64 = 4,732.22/x
  3. Step 3: Cross multiply
    7,757.79x = 10,705.64 × 4,732.22
  4. Step 4: Simplify right side
    7,757.79x = 50,661,446.82
  5. Step 5: Solve for x
    x = 50,661,446.82/7,757.79
  6. Step 6: Final answer
    x = 6,530.40

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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.