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Finding the Fourth Proportional to 10,750.95, 14,837.04 and 8,094.15

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Solution

The fourth proportional to 10,750.95, 14,837.04 and 8,094.15 is: 11,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.95 : 14,837.04 = 8,094.15 : x
  2. Step 2: Convert to fraction form
    10,750.95/14,837.04 = 8,094.15/x
  3. Step 3: Cross multiply
    10,750.95x = 14,837.04 × 8,094.15
  4. Step 4: Simplify right side
    10,750.95x = 120,093,227.32
  5. Step 5: Solve for x
    x = 120,093,227.32/10,750.95
  6. Step 6: Final answer
    x = 11,170.48

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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.