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Finding the Fourth Proportional to 6,358.96, 8,775.71 and 3,706.21

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Solution

The fourth proportional to 6,358.96, 8,775.71 and 3,706.21 is: 5,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.96 : 8,775.71 = 3,706.21 : x
  2. Step 2: Convert to fraction form
    6,358.96/8,775.71 = 3,706.21/x
  3. Step 3: Cross multiply
    6,358.96x = 8,775.71 × 3,706.21
  4. Step 4: Simplify right side
    6,358.96x = 32,524,624.16
  5. Step 5: Solve for x
    x = 32,524,624.16/6,358.96
  6. Step 6: Final answer
    x = 5,114.77

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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.