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Finding the Fourth Proportional to 6,470.53, 8,926.73 and 4,698.25

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Solution

The fourth proportional to 6,470.53, 8,926.73 and 4,698.25 is: 6,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.53 : 8,926.73 = 4,698.25 : x
  2. Step 2: Convert to fraction form
    6,470.53/8,926.73 = 4,698.25/x
  3. Step 3: Cross multiply
    6,470.53x = 8,926.73 × 4,698.25
  4. Step 4: Simplify right side
    6,470.53x = 41,940,009.22
  5. Step 5: Solve for x
    x = 41,940,009.22/6,470.53
  6. Step 6: Final answer
    x = 6,481.70

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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.