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Finding the Fourth Proportional to 14,678.42, 22,012.31 and 6,245.48

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Solution

The fourth proportional to 14,678.42, 22,012.31 and 6,245.48 is: 9,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.42 : 22,012.31 = 6,245.48 : x
  2. Step 2: Convert to fraction form
    14,678.42/22,012.31 = 6,245.48/x
  3. Step 3: Cross multiply
    14,678.42x = 22,012.31 × 6,245.48
  4. Step 4: Simplify right side
    14,678.42x = 137,477,512.50
  5. Step 5: Solve for x
    x = 137,477,512.50/14,678.42
  6. Step 6: Final answer
    x = 9,365.96

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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.