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Finding the Fourth Proportional to 9,775.08, 13,473.54 and 8,003.61

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Solution

The fourth proportional to 9,775.08, 13,473.54 and 8,003.61 is: 11,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.08 : 13,473.54 = 8,003.61 : x
  2. Step 2: Convert to fraction form
    9,775.08/13,473.54 = 8,003.61/x
  3. Step 3: Cross multiply
    9,775.08x = 13,473.54 × 8,003.61
  4. Step 4: Simplify right side
    9,775.08x = 107,836,959.48
  5. Step 5: Solve for x
    x = 107,836,959.48/9,775.08
  6. Step 6: Final answer
    x = 11,031.82

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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.