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Finding the Fourth Proportional to 7,097.75, 10,656.05 and 6,064.39

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Solution

The fourth proportional to 7,097.75, 10,656.05 and 6,064.39 is: 9,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.75 : 10,656.05 = 6,064.39 : x
  2. Step 2: Convert to fraction form
    7,097.75/10,656.05 = 6,064.39/x
  3. Step 3: Cross multiply
    7,097.75x = 10,656.05 × 6,064.39
  4. Step 4: Simplify right side
    7,097.75x = 64,622,443.06
  5. Step 5: Solve for x
    x = 64,622,443.06/7,097.75
  6. Step 6: Final answer
    x = 9,104.64

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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.