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Finding the Fourth Proportional to 10,961.42, 15,094.94 and 9,525.15

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Solution

The fourth proportional to 10,961.42, 15,094.94 and 9,525.15 is: 13,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.42 : 15,094.94 = 9,525.15 : x
  2. Step 2: Convert to fraction form
    10,961.42/15,094.94 = 9,525.15/x
  3. Step 3: Cross multiply
    10,961.42x = 15,094.94 × 9,525.15
  4. Step 4: Simplify right side
    10,961.42x = 143,781,520.12
  5. Step 5: Solve for x
    x = 143,781,520.12/10,961.42
  6. Step 6: Final answer
    x = 13,117.06

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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.