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Finding the Fourth Proportional to 14,525.48, 20,046.84 and 8,239

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Solution

The fourth proportional to 14,525.48, 20,046.84 and 8,239 is: 11,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.48 : 20,046.84 = 8,239 : x
  2. Step 2: Convert to fraction form
    14,525.48/20,046.84 = 8,239/x
  3. Step 3: Cross multiply
    14,525.48x = 20,046.84 × 8,239
  4. Step 4: Simplify right side
    14,525.48x = 165,165,914.76
  5. Step 5: Solve for x
    x = 165,165,914.76/14,525.48
  6. Step 6: Final answer
    x = 11,370.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.