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Finding the Fourth Proportional to 16,969.44, 25,454.16 and 4,657.44

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Solution

The fourth proportional to 16,969.44, 25,454.16 and 4,657.44 is: 6,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.44 : 25,454.16 = 4,657.44 : x
  2. Step 2: Convert to fraction form
    16,969.44/25,454.16 = 4,657.44/x
  3. Step 3: Cross multiply
    16,969.44x = 25,454.16 × 4,657.44
  4. Step 4: Simplify right side
    16,969.44x = 118,551,222.95
  5. Step 5: Solve for x
    x = 118,551,222.95/16,969.44
  6. Step 6: Final answer
    x = 6,986.16

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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.