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Finding the Fourth Proportional to 7,694, 10,617 and 4,336.26

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Solution

The fourth proportional to 7,694, 10,617 and 4,336.26 is: 5,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 10,617 = 4,336.26 : x
  2. Step 2: Convert to fraction form
    7,694/10,617 = 4,336.26/x
  3. Step 3: Cross multiply
    7,694x = 10,617 × 4,336.26
  4. Step 4: Simplify right side
    7,694x = 46,038,072.42
  5. Step 5: Solve for x
    x = 46,038,072.42/7,694
  6. Step 6: Final answer
    x = 5,983.63

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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.