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Finding the Fourth Proportional to 11,137.30, 16,705.95 and 7,200.70

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Solution

The fourth proportional to 11,137.30, 16,705.95 and 7,200.70 is: 10,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.30 : 16,705.95 = 7,200.70 : x
  2. Step 2: Convert to fraction form
    11,137.30/16,705.95 = 7,200.70/x
  3. Step 3: Cross multiply
    11,137.30x = 16,705.95 × 7,200.70
  4. Step 4: Simplify right side
    11,137.30x = 120,294,534.17
  5. Step 5: Solve for x
    x = 120,294,534.17/11,137.30
  6. Step 6: Final answer
    x = 10,801.05

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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.