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Finding the Fourth Proportional to 13,969.92, 20,962.08 and 6,184.24

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Solution

The fourth proportional to 13,969.92, 20,962.08 and 6,184.24 is: 9,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.92 : 20,962.08 = 6,184.24 : x
  2. Step 2: Convert to fraction form
    13,969.92/20,962.08 = 6,184.24/x
  3. Step 3: Cross multiply
    13,969.92x = 20,962.08 × 6,184.24
  4. Step 4: Simplify right side
    13,969.92x = 129,634,533.62
  5. Step 5: Solve for x
    x = 129,634,533.62/13,969.92
  6. Step 6: Final answer
    x = 9,279.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.