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Finding the Fourth Proportional to 6,553.04, 9,834.36 and 4,914

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Solution

The fourth proportional to 6,553.04, 9,834.36 and 4,914 is: 7,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.04 : 9,834.36 = 4,914 : x
  2. Step 2: Convert to fraction form
    6,553.04/9,834.36 = 4,914/x
  3. Step 3: Cross multiply
    6,553.04x = 9,834.36 × 4,914
  4. Step 4: Simplify right side
    6,553.04x = 48,326,045.04
  5. Step 5: Solve for x
    x = 48,326,045.04/6,553.04
  6. Step 6: Final answer
    x = 7,374.60

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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.