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Finding the Fourth Proportional to 8,207.64, 11,320.14 and 7,264.44

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Solution

The fourth proportional to 8,207.64, 11,320.14 and 7,264.44 is: 10,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.64 : 11,320.14 = 7,264.44 : x
  2. Step 2: Convert to fraction form
    8,207.64/11,320.14 = 7,264.44/x
  3. Step 3: Cross multiply
    8,207.64x = 11,320.14 × 7,264.44
  4. Step 4: Simplify right side
    8,207.64x = 82,234,477.82
  5. Step 5: Solve for x
    x = 82,234,477.82/8,207.64
  6. Step 6: Final answer
    x = 10,019.26

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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.