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Finding the Fourth Proportional to 14,842.50, 22,235.94 and 7,438.30

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Solution

The fourth proportional to 14,842.50, 22,235.94 and 7,438.30 is: 11,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.50 : 22,235.94 = 7,438.30 : x
  2. Step 2: Convert to fraction form
    14,842.50/22,235.94 = 7,438.30/x
  3. Step 3: Cross multiply
    14,842.50x = 22,235.94 × 7,438.30
  4. Step 4: Simplify right side
    14,842.50x = 165,397,592.50
  5. Step 5: Solve for x
    x = 165,397,592.50/14,842.50
  6. Step 6: Final answer
    x = 11,143.51

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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.