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Finding the Fourth Proportional to 9,591.56, 14,368.20 and 7,620.53

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Solution

The fourth proportional to 9,591.56, 14,368.20 and 7,620.53 is: 11,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.56 : 14,368.20 = 7,620.53 : x
  2. Step 2: Convert to fraction form
    9,591.56/14,368.20 = 7,620.53/x
  3. Step 3: Cross multiply
    9,591.56x = 14,368.20 × 7,620.53
  4. Step 4: Simplify right side
    9,591.56x = 109,493,299.15
  5. Step 5: Solve for x
    x = 109,493,299.15/9,591.56
  6. Step 6: Final answer
    x = 11,415.59

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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.