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Finding the Fourth Proportional to 9,611.46, 14,407.29 and 6,972.39

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Solution

The fourth proportional to 9,611.46, 14,407.29 and 6,972.39 is: 10,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.46 : 14,407.29 = 6,972.39 : x
  2. Step 2: Convert to fraction form
    9,611.46/14,407.29 = 6,972.39/x
  3. Step 3: Cross multiply
    9,611.46x = 14,407.29 × 6,972.39
  4. Step 4: Simplify right side
    9,611.46x = 100,453,244.72
  5. Step 5: Solve for x
    x = 100,453,244.72/9,611.46
  6. Step 6: Final answer
    x = 10,451.40

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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.