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Finding the Fourth Proportional to 9,133.88, 12,604.68 and 4,942.14

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Solution

The fourth proportional to 9,133.88, 12,604.68 and 4,942.14 is: 6,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.88 : 12,604.68 = 4,942.14 : x
  2. Step 2: Convert to fraction form
    9,133.88/12,604.68 = 4,942.14/x
  3. Step 3: Cross multiply
    9,133.88x = 12,604.68 × 4,942.14
  4. Step 4: Simplify right side
    9,133.88x = 62,294,093.22
  5. Step 5: Solve for x
    x = 62,294,093.22/9,133.88
  6. Step 6: Final answer
    x = 6,820.11

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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.