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Finding the Fourth Proportional to 9,695.98, 14,517.84 and 5,069.26

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Solution

The fourth proportional to 9,695.98, 14,517.84 and 5,069.26 is: 7,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.98 : 14,517.84 = 5,069.26 : x
  2. Step 2: Convert to fraction form
    9,695.98/14,517.84 = 5,069.26/x
  3. Step 3: Cross multiply
    9,695.98x = 14,517.84 × 5,069.26
  4. Step 4: Simplify right side
    9,695.98x = 73,594,705.60
  5. Step 5: Solve for x
    x = 73,594,705.60/9,695.98
  6. Step 6: Final answer
    x = 7,590.23

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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.