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Finding the Fourth Proportional to 9,809.20, 14,721.90 and 4,552.30

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Solution

The fourth proportional to 9,809.20, 14,721.90 and 4,552.30 is: 6,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.20 : 14,721.90 = 4,552.30 : x
  2. Step 2: Convert to fraction form
    9,809.20/14,721.90 = 4,552.30/x
  3. Step 3: Cross multiply
    9,809.20x = 14,721.90 × 4,552.30
  4. Step 4: Simplify right side
    9,809.20x = 67,018,505.37
  5. Step 5: Solve for x
    x = 67,018,505.37/9,809.20
  6. Step 6: Final answer
    x = 6,832.21

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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.