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Finding the Fourth Proportional to 10,755.01, 14,842.53 and 7,163.74

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Solution

The fourth proportional to 10,755.01, 14,842.53 and 7,163.74 is: 9,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.01 : 14,842.53 = 7,163.74 : x
  2. Step 2: Convert to fraction form
    10,755.01/14,842.53 = 7,163.74/x
  3. Step 3: Cross multiply
    10,755.01x = 14,842.53 × 7,163.74
  4. Step 4: Simplify right side
    10,755.01x = 106,328,025.86
  5. Step 5: Solve for x
    x = 106,328,025.86/10,755.01
  6. Step 6: Final answer
    x = 9,886.37

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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.