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Finding the Fourth Proportional to 6,973.64, 9,623.76 and 3,830

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Solution

The fourth proportional to 6,973.64, 9,623.76 and 3,830 is: 5,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.64 : 9,623.76 = 3,830 : x
  2. Step 2: Convert to fraction form
    6,973.64/9,623.76 = 3,830/x
  3. Step 3: Cross multiply
    6,973.64x = 9,623.76 × 3,830
  4. Step 4: Simplify right side
    6,973.64x = 36,859,000.80
  5. Step 5: Solve for x
    x = 36,859,000.80/6,973.64
  6. Step 6: Final answer
    x = 5,285.48

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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.