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Finding the Fourth Proportional to 7,211.50, 9,953.46 and 4,558.39

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Solution

The fourth proportional to 7,211.50, 9,953.46 and 4,558.39 is: 6,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.50 : 9,953.46 = 4,558.39 : x
  2. Step 2: Convert to fraction form
    7,211.50/9,953.46 = 4,558.39/x
  3. Step 3: Cross multiply
    7,211.50x = 9,953.46 × 4,558.39
  4. Step 4: Simplify right side
    7,211.50x = 45,371,727.65
  5. Step 5: Solve for x
    x = 45,371,727.65/7,211.50
  6. Step 6: Final answer
    x = 6,291.58

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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.