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Finding the Fourth Proportional to 7,055.62, 9,739.27 and 4,815.89

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Solution

The fourth proportional to 7,055.62, 9,739.27 and 4,815.89 is: 6,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.62 : 9,739.27 = 4,815.89 : x
  2. Step 2: Convert to fraction form
    7,055.62/9,739.27 = 4,815.89/x
  3. Step 3: Cross multiply
    7,055.62x = 9,739.27 × 4,815.89
  4. Step 4: Simplify right side
    7,055.62x = 46,903,246.85
  5. Step 5: Solve for x
    x = 46,903,246.85/7,055.62
  6. Step 6: Final answer
    x = 6,647.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.