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Finding the Fourth Proportional to 7,757.84, 10,705.02 and 4,613.42

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Solution

The fourth proportional to 7,757.84, 10,705.02 and 4,613.42 is: 6,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.84 : 10,705.02 = 4,613.42 : x
  2. Step 2: Convert to fraction form
    7,757.84/10,705.02 = 4,613.42/x
  3. Step 3: Cross multiply
    7,757.84x = 10,705.02 × 4,613.42
  4. Step 4: Simplify right side
    7,757.84x = 49,386,753.37
  5. Step 5: Solve for x
    x = 49,386,753.37/7,757.84
  6. Step 6: Final answer
    x = 6,366.04

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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.