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Finding the Fourth Proportional to 6,055.56, 9,072 and 4,207.68

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Solution

The fourth proportional to 6,055.56, 9,072 and 4,207.68 is: 6,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.56 : 9,072 = 4,207.68 : x
  2. Step 2: Convert to fraction form
    6,055.56/9,072 = 4,207.68/x
  3. Step 3: Cross multiply
    6,055.56x = 9,072 × 4,207.68
  4. Step 4: Simplify right side
    6,055.56x = 38,172,072.96
  5. Step 5: Solve for x
    x = 38,172,072.96/6,055.56
  6. Step 6: Final answer
    x = 6,303.64

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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.