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Finding the Fourth Proportional to 9,807.28, 13,526.40 and 8,135.44

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Solution

The fourth proportional to 9,807.28, 13,526.40 and 8,135.44 is: 11,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.28 : 13,526.40 = 8,135.44 : x
  2. Step 2: Convert to fraction form
    9,807.28/13,526.40 = 8,135.44/x
  3. Step 3: Cross multiply
    9,807.28x = 13,526.40 × 8,135.44
  4. Step 4: Simplify right side
    9,807.28x = 110,043,215.62
  5. Step 5: Solve for x
    x = 110,043,215.62/9,807.28
  6. Step 6: Final answer
    x = 11,220.56

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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.