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Finding the Fourth Proportional to 7,107.60, 9,788.22 and 6,954.96

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Solution

The fourth proportional to 7,107.60, 9,788.22 and 6,954.96 is: 9,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.60 : 9,788.22 = 6,954.96 : x
  2. Step 2: Convert to fraction form
    7,107.60/9,788.22 = 6,954.96/x
  3. Step 3: Cross multiply
    7,107.60x = 9,788.22 × 6,954.96
  4. Step 4: Simplify right side
    7,107.60x = 68,076,678.57
  5. Step 5: Solve for x
    x = 68,076,678.57/7,107.60
  6. Step 6: Final answer
    x = 9,578.01

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1.5x scale

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.