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Finding the Fourth Proportional to 9,887.84, 14,820.96 and 5,991.20

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Solution

The fourth proportional to 9,887.84, 14,820.96 and 5,991.20 is: 8,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.84 : 14,820.96 = 5,991.20 : x
  2. Step 2: Convert to fraction form
    9,887.84/14,820.96 = 5,991.20/x
  3. Step 3: Cross multiply
    9,887.84x = 14,820.96 × 5,991.20
  4. Step 4: Simplify right side
    9,887.84x = 88,795,335.55
  5. Step 5: Solve for x
    x = 88,795,335.55/9,887.84
  6. Step 6: Final answer
    x = 8,980.26

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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.