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Finding the Fourth Proportional to 7,107.43, 9,810.93 and 6,108.70

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Solution

The fourth proportional to 7,107.43, 9,810.93 and 6,108.70 is: 8,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.43 : 9,810.93 = 6,108.70 : x
  2. Step 2: Convert to fraction form
    7,107.43/9,810.93 = 6,108.70/x
  3. Step 3: Cross multiply
    7,107.43x = 9,810.93 × 6,108.70
  4. Step 4: Simplify right side
    7,107.43x = 59,932,028.09
  5. Step 5: Solve for x
    x = 59,932,028.09/7,107.43
  6. Step 6: Final answer
    x = 8,432.31

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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.