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Finding the Fourth Proportional to 8,973.92, 12,384.68 and 5,198.10

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Solution

The fourth proportional to 8,973.92, 12,384.68 and 5,198.10 is: 7,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.92 : 12,384.68 = 5,198.10 : x
  2. Step 2: Convert to fraction form
    8,973.92/12,384.68 = 5,198.10/x
  3. Step 3: Cross multiply
    8,973.92x = 12,384.68 × 5,198.10
  4. Step 4: Simplify right side
    8,973.92x = 64,376,779.12
  5. Step 5: Solve for x
    x = 64,376,779.12/8,973.92
  6. Step 6: Final answer
    x = 7,173.77

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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.