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Finding the Fourth Proportional to 8,070.64, 11,138.81 and 6,724.12

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Solution

The fourth proportional to 8,070.64, 11,138.81 and 6,724.12 is: 9,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.64 : 11,138.81 = 6,724.12 : x
  2. Step 2: Convert to fraction form
    8,070.64/11,138.81 = 6,724.12/x
  3. Step 3: Cross multiply
    8,070.64x = 11,138.81 × 6,724.12
  4. Step 4: Simplify right side
    8,070.64x = 74,898,658.85
  5. Step 5: Solve for x
    x = 74,898,658.85/8,070.64
  6. Step 6: Final answer
    x = 9,280.39

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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.