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Finding the Fourth Proportional to 27,907.68, 41,861.62 and 6,847.86

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Solution

The fourth proportional to 27,907.68, 41,861.62 and 6,847.86 is: 10,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.68 : 41,861.62 = 6,847.86 : x
  2. Step 2: Convert to fraction form
    27,907.68/41,861.62 = 6,847.86/x
  3. Step 3: Cross multiply
    27,907.68x = 41,861.62 × 6,847.86
  4. Step 4: Simplify right side
    27,907.68x = 286,662,513.13
  5. Step 5: Solve for x
    x = 286,662,513.13/27,907.68
  6. Step 6: Final answer
    x = 10,271.81

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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.