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Finding the Fourth Proportional to 6,987.96, 9,643.32 and 3,844.32

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Solution

The fourth proportional to 6,987.96, 9,643.32 and 3,844.32 is: 5,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.96 : 9,643.32 = 3,844.32 : x
  2. Step 2: Convert to fraction form
    6,987.96/9,643.32 = 3,844.32/x
  3. Step 3: Cross multiply
    6,987.96x = 9,643.32 × 3,844.32
  4. Step 4: Simplify right side
    6,987.96x = 37,072,007.94
  5. Step 5: Solve for x
    x = 37,072,007.94/6,987.96
  6. Step 6: Final answer
    x = 5,305.13

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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.