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Finding the Fourth Proportional to 9,611.97, 14,430.25 and 8,160.35

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Solution

The fourth proportional to 9,611.97, 14,430.25 and 8,160.35 is: 12,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.97 : 14,430.25 = 8,160.35 : x
  2. Step 2: Convert to fraction form
    9,611.97/14,430.25 = 8,160.35/x
  3. Step 3: Cross multiply
    9,611.97x = 14,430.25 × 8,160.35
  4. Step 4: Simplify right side
    9,611.97x = 117,755,828.64
  5. Step 5: Solve for x
    x = 117,755,828.64/9,611.97
  6. Step 6: Final answer
    x = 12,250.96

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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.