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Finding the Fourth Proportional to 9,774.15, 14,632.07 and 6,850.86

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Solution

The fourth proportional to 9,774.15, 14,632.07 and 6,850.86 is: 10,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.15 : 14,632.07 = 6,850.86 : x
  2. Step 2: Convert to fraction form
    9,774.15/14,632.07 = 6,850.86/x
  3. Step 3: Cross multiply
    9,774.15x = 14,632.07 × 6,850.86
  4. Step 4: Simplify right side
    9,774.15x = 100,242,228.83
  5. Step 5: Solve for x
    x = 100,242,228.83/9,774.15
  6. Step 6: Final answer
    x = 10,255.85

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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.