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Finding the Fourth Proportional to 9,974.95, 13,750.32 and 8,203.48

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Solution

The fourth proportional to 9,974.95, 13,750.32 and 8,203.48 is: 11,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.95 : 13,750.32 = 8,203.48 : x
  2. Step 2: Convert to fraction form
    9,974.95/13,750.32 = 8,203.48/x
  3. Step 3: Cross multiply
    9,974.95x = 13,750.32 × 8,203.48
  4. Step 4: Simplify right side
    9,974.95x = 112,800,471.50
  5. Step 5: Solve for x
    x = 112,800,471.50/9,974.95
  6. Step 6: Final answer
    x = 11,308.38

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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.