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Finding the Fourth Proportional to 8,267.31, 11,412.62 and 5,287.16

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Solution

The fourth proportional to 8,267.31, 11,412.62 and 5,287.16 is: 7,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.31 : 11,412.62 = 5,287.16 : x
  2. Step 2: Convert to fraction form
    8,267.31/11,412.62 = 5,287.16/x
  3. Step 3: Cross multiply
    8,267.31x = 11,412.62 × 5,287.16
  4. Step 4: Simplify right side
    8,267.31x = 60,340,264.46
  5. Step 5: Solve for x
    x = 60,340,264.46/8,267.31
  6. Step 6: Final answer
    x = 7,298.66

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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.