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Finding the Fourth Proportional to 8,262.16, 11,397 and 5,116.12

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Solution

The fourth proportional to 8,262.16, 11,397 and 5,116.12 is: 7,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.16 : 11,397 = 5,116.12 : x
  2. Step 2: Convert to fraction form
    8,262.16/11,397 = 5,116.12/x
  3. Step 3: Cross multiply
    8,262.16x = 11,397 × 5,116.12
  4. Step 4: Simplify right side
    8,262.16x = 58,308,419.64
  5. Step 5: Solve for x
    x = 58,308,419.64/8,262.16
  6. Step 6: Final answer
    x = 7,057.29

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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.