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Finding the Fourth Proportional to 7,642.62, 10,545.12 and 4,846.50

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Solution

The fourth proportional to 7,642.62, 10,545.12 and 4,846.50 is: 6,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.62 : 10,545.12 = 4,846.50 : x
  2. Step 2: Convert to fraction form
    7,642.62/10,545.12 = 4,846.50/x
  3. Step 3: Cross multiply
    7,642.62x = 10,545.12 × 4,846.50
  4. Step 4: Simplify right side
    7,642.62x = 51,106,924.08
  5. Step 5: Solve for x
    x = 51,106,924.08/7,642.62
  6. Step 6: Final answer
    x = 6,687.09

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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.