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Finding the Fourth Proportional to 5,470.30, 8,193.30 and 4,498.30

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Solution

The fourth proportional to 5,470.30, 8,193.30 and 4,498.30 is: 6,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.30 : 8,193.30 = 4,498.30 : x
  2. Step 2: Convert to fraction form
    5,470.30/8,193.30 = 4,498.30/x
  3. Step 3: Cross multiply
    5,470.30x = 8,193.30 × 4,498.30
  4. Step 4: Simplify right side
    5,470.30x = 36,855,921.39
  5. Step 5: Solve for x
    x = 36,855,921.39/5,470.30
  6. Step 6: Final answer
    x = 6,737.46

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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.