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Finding the Fourth Proportional to 7,858.91, 10,844.82 and 4,322.12

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Solution

The fourth proportional to 7,858.91, 10,844.82 and 4,322.12 is: 5,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.91 : 10,844.82 = 4,322.12 : x
  2. Step 2: Convert to fraction form
    7,858.91/10,844.82 = 4,322.12/x
  3. Step 3: Cross multiply
    7,858.91x = 10,844.82 × 4,322.12
  4. Step 4: Simplify right side
    7,858.91x = 46,872,559.19
  5. Step 5: Solve for x
    x = 46,872,559.19/7,858.91
  6. Step 6: Final answer
    x = 5,964.26

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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.