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Finding the Fourth Proportional to 6,968.16, 9,612.92 and 4,135.65

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Solution

The fourth proportional to 6,968.16, 9,612.92 and 4,135.65 is: 5,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.16 : 9,612.92 = 4,135.65 : x
  2. Step 2: Convert to fraction form
    6,968.16/9,612.92 = 4,135.65/x
  3. Step 3: Cross multiply
    6,968.16x = 9,612.92 × 4,135.65
  4. Step 4: Simplify right side
    6,968.16x = 39,755,678.21
  5. Step 5: Solve for x
    x = 39,755,678.21/6,968.16
  6. Step 6: Final answer
    x = 5,705.34

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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.