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Finding the Fourth Proportional to 10,698.96, 16,051.60 and 4,854

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Solution

The fourth proportional to 10,698.96, 16,051.60 and 4,854 is: 7,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.96 : 16,051.60 = 4,854 : x
  2. Step 2: Convert to fraction form
    10,698.96/16,051.60 = 4,854/x
  3. Step 3: Cross multiply
    10,698.96x = 16,051.60 × 4,854
  4. Step 4: Simplify right side
    10,698.96x = 77,914,466.40
  5. Step 5: Solve for x
    x = 77,914,466.40/10,698.96
  6. Step 6: Final answer
    x = 7,282.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.