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Finding the Fourth Proportional to 9,807.21, 13,504.32 and 8,451.27

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Solution

The fourth proportional to 9,807.21, 13,504.32 and 8,451.27 is: 11,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.21 : 13,504.32 = 8,451.27 : x
  2. Step 2: Convert to fraction form
    9,807.21/13,504.32 = 8,451.27/x
  3. Step 3: Cross multiply
    9,807.21x = 13,504.32 × 8,451.27
  4. Step 4: Simplify right side
    9,807.21x = 114,128,654.49
  5. Step 5: Solve for x
    x = 114,128,654.49/9,807.21
  6. Step 6: Final answer
    x = 11,637.22

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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.