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Finding the Fourth Proportional to 9,801, 14,707.98 and 4,607.28

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Solution

The fourth proportional to 9,801, 14,707.98 and 4,607.28 is: 6,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 14,707.98 = 4,607.28 : x
  2. Step 2: Convert to fraction form
    9,801/14,707.98 = 4,607.28/x
  3. Step 3: Cross multiply
    9,801x = 14,707.98 × 4,607.28
  4. Step 4: Simplify right side
    9,801x = 67,763,782.09
  5. Step 5: Solve for x
    x = 67,763,782.09/9,801
  6. Step 6: Final answer
    x = 6,913.97

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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.