Home / 9,824-13,557.04-5,845.04

Finding the Fourth Proportional to 9,824, 13,557.04 and 5,845.04

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Solution

The fourth proportional to 9,824, 13,557.04 and 5,845.04 is: 8,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824 : 13,557.04 = 5,845.04 : x
  2. Step 2: Convert to fraction form
    9,824/13,557.04 = 5,845.04/x
  3. Step 3: Cross multiply
    9,824x = 13,557.04 × 5,845.04
  4. Step 4: Simplify right side
    9,824x = 79,241,441.08
  5. Step 5: Solve for x
    x = 79,241,441.08/9,824
  6. Step 6: Final answer
    x = 8,066.11

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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.