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Finding the Fourth Proportional to 6,482.42, 9,725.69 and 2,322.33

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Solution

The fourth proportional to 6,482.42, 9,725.69 and 2,322.33 is: 3,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.42 : 9,725.69 = 2,322.33 : x
  2. Step 2: Convert to fraction form
    6,482.42/9,725.69 = 2,322.33/x
  3. Step 3: Cross multiply
    6,482.42x = 9,725.69 × 2,322.33
  4. Step 4: Simplify right side
    6,482.42x = 22,586,250.05
  5. Step 5: Solve for x
    x = 22,586,250.05/6,482.42
  6. Step 6: Final answer
    x = 3,484.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.