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Finding the Fourth Proportional to 14,846.63, 22,242.13 and 7,442.42

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Solution

The fourth proportional to 14,846.63, 22,242.13 and 7,442.42 is: 11,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.63 : 22,242.13 = 7,442.42 : x
  2. Step 2: Convert to fraction form
    14,846.63/22,242.13 = 7,442.42/x
  3. Step 3: Cross multiply
    14,846.63x = 22,242.13 × 7,442.42
  4. Step 4: Simplify right side
    14,846.63x = 165,535,143.34
  5. Step 5: Solve for x
    x = 165,535,143.34/14,846.63
  6. Step 6: Final answer
    x = 11,149.68

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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.