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Finding the Fourth Proportional to 7,946.37, 10,964.25 and 4,802.49

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Solution

The fourth proportional to 7,946.37, 10,964.25 and 4,802.49 is: 6,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.37 : 10,964.25 = 4,802.49 : x
  2. Step 2: Convert to fraction form
    7,946.37/10,964.25 = 4,802.49/x
  3. Step 3: Cross multiply
    7,946.37x = 10,964.25 × 4,802.49
  4. Step 4: Simplify right side
    7,946.37x = 52,655,700.98
  5. Step 5: Solve for x
    x = 52,655,700.98/7,946.37
  6. Step 6: Final answer
    x = 6,626.38

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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.