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Finding the Fourth Proportional to 9,902.43, 14,832.96 and 5,941.11

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Solution

The fourth proportional to 9,902.43, 14,832.96 and 5,941.11 is: 8,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.43 : 14,832.96 = 5,941.11 : x
  2. Step 2: Convert to fraction form
    9,902.43/14,832.96 = 5,941.11/x
  3. Step 3: Cross multiply
    9,902.43x = 14,832.96 × 5,941.11
  4. Step 4: Simplify right side
    9,902.43x = 88,124,246.99
  5. Step 5: Solve for x
    x = 88,124,246.99/9,902.43
  6. Step 6: Final answer
    x = 8,899.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.