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Finding the Fourth Proportional to 14,969.54, 20,641.10 and 9,584.94

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Solution

The fourth proportional to 14,969.54, 20,641.10 and 9,584.94 is: 13,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.54 : 20,641.10 = 9,584.94 : x
  2. Step 2: Convert to fraction form
    14,969.54/20,641.10 = 9,584.94/x
  3. Step 3: Cross multiply
    14,969.54x = 20,641.10 × 9,584.94
  4. Step 4: Simplify right side
    14,969.54x = 197,843,705.03
  5. Step 5: Solve for x
    x = 197,843,705.03/14,969.54
  6. Step 6: Final answer
    x = 13,216.42

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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.