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Finding the Fourth Proportional to 7,107.91, 9,818.84 and 6,734.23

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Solution

The fourth proportional to 7,107.91, 9,818.84 and 6,734.23 is: 9,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.91 : 9,818.84 = 6,734.23 : x
  2. Step 2: Convert to fraction form
    7,107.91/9,818.84 = 6,734.23/x
  3. Step 3: Cross multiply
    7,107.91x = 9,818.84 × 6,734.23
  4. Step 4: Simplify right side
    7,107.91x = 66,122,326.89
  5. Step 5: Solve for x
    x = 66,122,326.89/7,107.91
  6. Step 6: Final answer
    x = 9,302.64

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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.