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Finding the Fourth Proportional to 9,362.44, 12,915.84 and 6,003.64

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Solution

The fourth proportional to 9,362.44, 12,915.84 and 6,003.64 is: 8,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.44 : 12,915.84 = 6,003.64 : x
  2. Step 2: Convert to fraction form
    9,362.44/12,915.84 = 6,003.64/x
  3. Step 3: Cross multiply
    9,362.44x = 12,915.84 × 6,003.64
  4. Step 4: Simplify right side
    9,362.44x = 77,542,053.66
  5. Step 5: Solve for x
    x = 77,542,053.66/9,362.44
  6. Step 6: Final answer
    x = 8,282.25

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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.