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Finding the Fourth Proportional to 7,734, 10,668.36 and 4,590

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Solution

The fourth proportional to 7,734, 10,668.36 and 4,590 is: 6,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 10,668.36 = 4,590 : x
  2. Step 2: Convert to fraction form
    7,734/10,668.36 = 4,590/x
  3. Step 3: Cross multiply
    7,734x = 10,668.36 × 4,590
  4. Step 4: Simplify right side
    7,734x = 48,967,772.40
  5. Step 5: Solve for x
    x = 48,967,772.40/7,734
  6. Step 6: Final answer
    x = 6,331.49

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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.