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Finding the Fourth Proportional to 10,041.14, 13,847.22 and 6,678.11

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Solution

The fourth proportional to 10,041.14, 13,847.22 and 6,678.11 is: 9,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.14 : 13,847.22 = 6,678.11 : x
  2. Step 2: Convert to fraction form
    10,041.14/13,847.22 = 6,678.11/x
  3. Step 3: Cross multiply
    10,041.14x = 13,847.22 × 6,678.11
  4. Step 4: Simplify right side
    10,041.14x = 92,473,258.35
  5. Step 5: Solve for x
    x = 92,473,258.35/10,041.14
  6. Step 6: Final answer
    x = 9,209.44

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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.