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Finding the Fourth Proportional to 9,070, 13,607.04 and 3,226.56

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Solution

The fourth proportional to 9,070, 13,607.04 and 3,226.56 is: 4,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070 : 13,607.04 = 3,226.56 : x
  2. Step 2: Convert to fraction form
    9,070/13,607.04 = 3,226.56/x
  3. Step 3: Cross multiply
    9,070x = 13,607.04 × 3,226.56
  4. Step 4: Simplify right side
    9,070x = 43,903,930.98
  5. Step 5: Solve for x
    x = 43,903,930.98/9,070
  6. Step 6: Final answer
    x = 4,840.57

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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.