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Finding the Fourth Proportional to 30,384.68, 45,577.06 and 8,198.08

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Solution

The fourth proportional to 30,384.68, 45,577.06 and 8,198.08 is: 12,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.68 : 45,577.06 = 8,198.08 : x
  2. Step 2: Convert to fraction form
    30,384.68/45,577.06 = 8,198.08/x
  3. Step 3: Cross multiply
    30,384.68x = 45,577.06 × 8,198.08
  4. Step 4: Simplify right side
    30,384.68x = 373,644,384.04
  5. Step 5: Solve for x
    x = 373,644,384.04/30,384.68
  6. Step 6: Final answer
    x = 12,297.13

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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.