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Finding the Fourth Proportional to 10,573.86, 15,860.94 and 5,027.77

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Solution

The fourth proportional to 10,573.86, 15,860.94 and 5,027.77 is: 7,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.86 : 15,860.94 = 5,027.77 : x
  2. Step 2: Convert to fraction form
    10,573.86/15,860.94 = 5,027.77/x
  3. Step 3: Cross multiply
    10,573.86x = 15,860.94 × 5,027.77
  4. Step 4: Simplify right side
    10,573.86x = 79,745,158.30
  5. Step 5: Solve for x
    x = 79,745,158.30/10,573.86
  6. Step 6: Final answer
    x = 7,541.73

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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.