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Finding the Fourth Proportional to 23,969.34, 35,929.79 and 9,909.97

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Solution

The fourth proportional to 23,969.34, 35,929.79 and 9,909.97 is: 14,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.34 : 35,929.79 = 9,909.97 : x
  2. Step 2: Convert to fraction form
    23,969.34/35,929.79 = 9,909.97/x
  3. Step 3: Cross multiply
    23,969.34x = 35,929.79 × 9,909.97
  4. Step 4: Simplify right side
    23,969.34x = 356,063,141.01
  5. Step 5: Solve for x
    x = 356,063,141.01/23,969.34
  6. Step 6: Final answer
    x = 14,854.94

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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.