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Finding the Fourth Proportional to 8,262.50, 11,398.52 and 4,905.45

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Solution

The fourth proportional to 8,262.50, 11,398.52 and 4,905.45 is: 6,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.50 : 11,398.52 = 4,905.45 : x
  2. Step 2: Convert to fraction form
    8,262.50/11,398.52 = 4,905.45/x
  3. Step 3: Cross multiply
    8,262.50x = 11,398.52 × 4,905.45
  4. Step 4: Simplify right side
    8,262.50x = 55,914,845.41
  5. Step 5: Solve for x
    x = 55,914,845.41/8,262.50
  6. Step 6: Final answer
    x = 6,767.31

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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.