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Finding the Fourth Proportional to 8,973, 12,384.36 and 5,198.58

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Solution

The fourth proportional to 8,973, 12,384.36 and 5,198.58 is: 7,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 12,384.36 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    8,973/12,384.36 = 5,198.58/x
  3. Step 3: Cross multiply
    8,973x = 12,384.36 × 5,198.58
  4. Step 4: Simplify right side
    8,973x = 64,381,086.21
  5. Step 5: Solve for x
    x = 64,381,086.21/8,973
  6. Step 6: Final answer
    x = 7,174.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.