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Finding the Fourth Proportional to 9,611.05, 14,416.58 and 2,947.57

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Solution

The fourth proportional to 9,611.05, 14,416.58 and 2,947.57 is: 4,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.05 : 14,416.58 = 2,947.57 : x
  2. Step 2: Convert to fraction form
    9,611.05/14,416.58 = 2,947.57/x
  3. Step 3: Cross multiply
    9,611.05x = 14,416.58 × 2,947.57
  4. Step 4: Simplify right side
    9,611.05x = 42,493,878.71
  5. Step 5: Solve for x
    x = 42,493,878.71/9,611.05
  6. Step 6: Final answer
    x = 4,421.36

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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.