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Finding the Fourth Proportional to 8,027.51, 12,024.86 and 6,458.94

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Solution

The fourth proportional to 8,027.51, 12,024.86 and 6,458.94 is: 9,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.51 : 12,024.86 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    8,027.51/12,024.86 = 6,458.94/x
  3. Step 3: Cross multiply
    8,027.51x = 12,024.86 × 6,458.94
  4. Step 4: Simplify right side
    8,027.51x = 77,667,816.95
  5. Step 5: Solve for x
    x = 77,667,816.95/8,027.51
  6. Step 6: Final answer
    x = 9,675.21

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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.