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Finding the Fourth Proportional to 9,099.10, 13,644.02 and 4,164.51

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Solution

The fourth proportional to 9,099.10, 13,644.02 and 4,164.51 is: 6,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.10 : 13,644.02 = 4,164.51 : x
  2. Step 2: Convert to fraction form
    9,099.10/13,644.02 = 4,164.51/x
  3. Step 3: Cross multiply
    9,099.10x = 13,644.02 × 4,164.51
  4. Step 4: Simplify right side
    9,099.10x = 56,820,657.73
  5. Step 5: Solve for x
    x = 56,820,657.73/9,099.10
  6. Step 6: Final answer
    x = 6,244.65

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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.