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Finding the Fourth Proportional to 10,765.88, 14,857.12 and 6,050.48

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Solution

The fourth proportional to 10,765.88, 14,857.12 and 6,050.48 is: 8,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.88 : 14,857.12 = 6,050.48 : x
  2. Step 2: Convert to fraction form
    10,765.88/14,857.12 = 6,050.48/x
  3. Step 3: Cross multiply
    10,765.88x = 14,857.12 × 6,050.48
  4. Step 4: Simplify right side
    10,765.88x = 89,892,707.42
  5. Step 5: Solve for x
    x = 89,892,707.42/10,765.88
  6. Step 6: Final answer
    x = 8,349.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.