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Finding the Fourth Proportional to 5,230.44, 7,846.10 and 1,482.22

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Solution

The fourth proportional to 5,230.44, 7,846.10 and 1,482.22 is: 2,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.44 : 7,846.10 = 1,482.22 : x
  2. Step 2: Convert to fraction form
    5,230.44/7,846.10 = 1,482.22/x
  3. Step 3: Cross multiply
    5,230.44x = 7,846.10 × 1,482.22
  4. Step 4: Simplify right side
    5,230.44x = 11,629,646.34
  5. Step 5: Solve for x
    x = 11,629,646.34/5,230.44
  6. Step 6: Final answer
    x = 2,223.45

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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.