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Finding the Fourth Proportional to 9,834, 13,582.60 and 6,684.88

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Solution

The fourth proportional to 9,834, 13,582.60 and 6,684.88 is: 9,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 13,582.60 = 6,684.88 : x
  2. Step 2: Convert to fraction form
    9,834/13,582.60 = 6,684.88/x
  3. Step 3: Cross multiply
    9,834x = 13,582.60 × 6,684.88
  4. Step 4: Simplify right side
    9,834x = 90,798,051.09
  5. Step 5: Solve for x
    x = 90,798,051.09/9,834
  6. Step 6: Final answer
    x = 9,233.07

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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.