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Finding the Fourth Proportional to 9,182.76, 13,757.70 and 5,887.68

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Solution

The fourth proportional to 9,182.76, 13,757.70 and 5,887.68 is: 8,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.76 : 13,757.70 = 5,887.68 : x
  2. Step 2: Convert to fraction form
    9,182.76/13,757.70 = 5,887.68/x
  3. Step 3: Cross multiply
    9,182.76x = 13,757.70 × 5,887.68
  4. Step 4: Simplify right side
    9,182.76x = 81,000,935.14
  5. Step 5: Solve for x
    x = 81,000,935.14/9,182.76
  6. Step 6: Final answer
    x = 8,820.98

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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.