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Finding the Fourth Proportional to 7,937.64, 10,968.57 and 5,695.97

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Solution

The fourth proportional to 7,937.64, 10,968.57 and 5,695.97 is: 7,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.64 : 10,968.57 = 5,695.97 : x
  2. Step 2: Convert to fraction form
    7,937.64/10,968.57 = 5,695.97/x
  3. Step 3: Cross multiply
    7,937.64x = 10,968.57 × 5,695.97
  4. Step 4: Simplify right side
    7,937.64x = 62,476,590.82
  5. Step 5: Solve for x
    x = 62,476,590.82/7,937.64
  6. Step 6: Final answer
    x = 7,870.93

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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.