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Finding the Fourth Proportional to 10,424.25, 14,385.51 and 6,698.25

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Solution

The fourth proportional to 10,424.25, 14,385.51 and 6,698.25 is: 9,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.25 : 14,385.51 = 6,698.25 : x
  2. Step 2: Convert to fraction form
    10,424.25/14,385.51 = 6,698.25/x
  3. Step 3: Cross multiply
    10,424.25x = 14,385.51 × 6,698.25
  4. Step 4: Simplify right side
    10,424.25x = 96,357,742.36
  5. Step 5: Solve for x
    x = 96,357,742.36/10,424.25
  6. Step 6: Final answer
    x = 9,243.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.