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Finding the Fourth Proportional to 5,767.84, 7,942.84 and 5,011.27

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Solution

The fourth proportional to 5,767.84, 7,942.84 and 5,011.27 is: 6,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.84 : 7,942.84 = 5,011.27 : x
  2. Step 2: Convert to fraction form
    5,767.84/7,942.84 = 5,011.27/x
  3. Step 3: Cross multiply
    5,767.84x = 7,942.84 × 5,011.27
  4. Step 4: Simplify right side
    5,767.84x = 39,803,715.81
  5. Step 5: Solve for x
    x = 39,803,715.81/5,767.84
  6. Step 6: Final answer
    x = 6,900.97

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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.