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Finding the Fourth Proportional to 8,673.60, 11,962 and 6,994.52

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Solution

The fourth proportional to 8,673.60, 11,962 and 6,994.52 is: 9,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.60 : 11,962 = 6,994.52 : x
  2. Step 2: Convert to fraction form
    8,673.60/11,962 = 6,994.52/x
  3. Step 3: Cross multiply
    8,673.60x = 11,962 × 6,994.52
  4. Step 4: Simplify right side
    8,673.60x = 83,668,448.24
  5. Step 5: Solve for x
    x = 83,668,448.24/8,673.60
  6. Step 6: Final answer
    x = 9,646.33

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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.