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Finding the Fourth Proportional to 5,000.96, 7,500.36 and 1,538.84

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Solution

The fourth proportional to 5,000.96, 7,500.36 and 1,538.84 is: 2,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.96 : 7,500.36 = 1,538.84 : x
  2. Step 2: Convert to fraction form
    5,000.96/7,500.36 = 1,538.84/x
  3. Step 3: Cross multiply
    5,000.96x = 7,500.36 × 1,538.84
  4. Step 4: Simplify right side
    5,000.96x = 11,541,853.98
  5. Step 5: Solve for x
    x = 11,541,853.98/5,000.96
  6. Step 6: Final answer
    x = 2,307.93

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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.