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Finding the Fourth Proportional to 6,199.70, 9,299.54 and 1,582.70

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Solution

The fourth proportional to 6,199.70, 9,299.54 and 1,582.70 is: 2,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.70 : 9,299.54 = 1,582.70 : x
  2. Step 2: Convert to fraction form
    6,199.70/9,299.54 = 1,582.70/x
  3. Step 3: Cross multiply
    6,199.70x = 9,299.54 × 1,582.70
  4. Step 4: Simplify right side
    6,199.70x = 14,718,327.55
  5. Step 5: Solve for x
    x = 14,718,327.55/6,199.70
  6. Step 6: Final answer
    x = 2,374.04

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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.