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Finding the Fourth Proportional to 10,678.84, 14,732.89 and 6,698.50

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Solution

The fourth proportional to 10,678.84, 14,732.89 and 6,698.50 is: 9,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.84 : 14,732.89 = 6,698.50 : x
  2. Step 2: Convert to fraction form
    10,678.84/14,732.89 = 6,698.50/x
  3. Step 3: Cross multiply
    10,678.84x = 14,732.89 × 6,698.50
  4. Step 4: Simplify right side
    10,678.84x = 98,688,263.67
  5. Step 5: Solve for x
    x = 98,688,263.67/10,678.84
  6. Step 6: Final answer
    x = 9,241.48

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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.