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Finding the Fourth Proportional to 7,348.10, 11,022.15 and 7,202.30

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Solution

The fourth proportional to 7,348.10, 11,022.15 and 7,202.30 is: 10,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.10 : 11,022.15 = 7,202.30 : x
  2. Step 2: Convert to fraction form
    7,348.10/11,022.15 = 7,202.30/x
  3. Step 3: Cross multiply
    7,348.10x = 11,022.15 × 7,202.30
  4. Step 4: Simplify right side
    7,348.10x = 79,384,830.95
  5. Step 5: Solve for x
    x = 79,384,830.95/7,348.10
  6. Step 6: Final answer
    x = 10,803.45

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Half scale
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Similar ratio
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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.