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Finding the Fourth Proportional to 6,684.83, 9,225.14 and 3,700.94

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Solution

The fourth proportional to 6,684.83, 9,225.14 and 3,700.94 is: 5,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.83 : 9,225.14 = 3,700.94 : x
  2. Step 2: Convert to fraction form
    6,684.83/9,225.14 = 3,700.94/x
  3. Step 3: Cross multiply
    6,684.83x = 9,225.14 × 3,700.94
  4. Step 4: Simplify right side
    6,684.83x = 34,141,689.63
  5. Step 5: Solve for x
    x = 34,141,689.63/6,684.83
  6. Step 6: Final answer
    x = 5,107.34

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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.