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Finding the Fourth Proportional to 8,242.84, 12,353.22 and 5,319.64

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Solution

The fourth proportional to 8,242.84, 12,353.22 and 5,319.64 is: 7,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.84 : 12,353.22 = 5,319.64 : x
  2. Step 2: Convert to fraction form
    8,242.84/12,353.22 = 5,319.64/x
  3. Step 3: Cross multiply
    8,242.84x = 12,353.22 × 5,319.64
  4. Step 4: Simplify right side
    8,242.84x = 65,714,683.24
  5. Step 5: Solve for x
    x = 65,714,683.24/8,242.84
  6. Step 6: Final answer
    x = 7,972.34

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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.