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Finding the Fourth Proportional to 11,378.80, 17,068.20 and 5,830.30

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Solution

The fourth proportional to 11,378.80, 17,068.20 and 5,830.30 is: 8,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.80 : 17,068.20 = 5,830.30 : x
  2. Step 2: Convert to fraction form
    11,378.80/17,068.20 = 5,830.30/x
  3. Step 3: Cross multiply
    11,378.80x = 17,068.20 × 5,830.30
  4. Step 4: Simplify right side
    11,378.80x = 99,512,726.46
  5. Step 5: Solve for x
    x = 99,512,726.46/11,378.80
  6. Step 6: Final answer
    x = 8,745.45

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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.