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Finding the Fourth Proportional to 6,482.90, 9,722.31 and 2,099.45

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Solution

The fourth proportional to 6,482.90, 9,722.31 and 2,099.45 is: 3,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.90 : 9,722.31 = 2,099.45 : x
  2. Step 2: Convert to fraction form
    6,482.90/9,722.31 = 2,099.45/x
  3. Step 3: Cross multiply
    6,482.90x = 9,722.31 × 2,099.45
  4. Step 4: Simplify right side
    6,482.90x = 20,411,503.73
  5. Step 5: Solve for x
    x = 20,411,503.73/6,482.90
  6. Step 6: Final answer
    x = 3,148.51

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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.