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Finding the Fourth Proportional to 8,297.66, 11,445.24 and 6,303.68

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Solution

The fourth proportional to 8,297.66, 11,445.24 and 6,303.68 is: 8,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.66 : 11,445.24 = 6,303.68 : x
  2. Step 2: Convert to fraction form
    8,297.66/11,445.24 = 6,303.68/x
  3. Step 3: Cross multiply
    8,297.66x = 11,445.24 × 6,303.68
  4. Step 4: Simplify right side
    8,297.66x = 72,147,130.48
  5. Step 5: Solve for x
    x = 72,147,130.48/8,297.66
  6. Step 6: Final answer
    x = 8,694.88

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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.