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Finding the Fourth Proportional to 8,949, 12,349.86 and 4,970.28

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Solution

The fourth proportional to 8,949, 12,349.86 and 4,970.28 is: 6,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949 : 12,349.86 = 4,970.28 : x
  2. Step 2: Convert to fraction form
    8,949/12,349.86 = 4,970.28/x
  3. Step 3: Cross multiply
    8,949x = 12,349.86 × 4,970.28
  4. Step 4: Simplify right side
    8,949x = 61,382,262.16
  5. Step 5: Solve for x
    x = 61,382,262.16/8,949
  6. Step 6: Final answer
    x = 6,859.12

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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.