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Finding the Fourth Proportional to 8,207.64, 12,311.46 and 3,828.16

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Solution

The fourth proportional to 8,207.64, 12,311.46 and 3,828.16 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.64 : 12,311.46 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    8,207.64/12,311.46 = 3,828.16/x
  3. Step 3: Cross multiply
    8,207.64x = 12,311.46 × 3,828.16
  4. Step 4: Simplify right side
    8,207.64x = 47,130,238.71
  5. Step 5: Solve for x
    x = 47,130,238.71/8,207.64
  6. Step 6: Final answer
    x = 5,742.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.