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Finding the Fourth Proportional to 6,199.92, 9,300.06 and 1,582.92

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Solution

The fourth proportional to 6,199.92, 9,300.06 and 1,582.92 is: 2,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.92 : 9,300.06 = 1,582.92 : x
  2. Step 2: Convert to fraction form
    6,199.92/9,300.06 = 1,582.92/x
  3. Step 3: Cross multiply
    6,199.92x = 9,300.06 × 1,582.92
  4. Step 4: Simplify right side
    6,199.92x = 14,721,250.98
  5. Step 5: Solve for x
    x = 14,721,250.98/6,199.92
  6. Step 6: Final answer
    x = 2,374.43

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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.