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Finding the Fourth Proportional to 9,736.70, 14,611.52 and 3,580.70

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Solution

The fourth proportional to 9,736.70, 14,611.52 and 3,580.70 is: 5,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.70 : 14,611.52 = 3,580.70 : x
  2. Step 2: Convert to fraction form
    9,736.70/14,611.52 = 3,580.70/x
  3. Step 3: Cross multiply
    9,736.70x = 14,611.52 × 3,580.70
  4. Step 4: Simplify right side
    9,736.70x = 52,319,378.70
  5. Step 5: Solve for x
    x = 52,319,378.70/9,736.70
  6. Step 6: Final answer
    x = 5,373.42

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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.