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Finding the Fourth Proportional to 6,813.16, 10,226.89 and 6,038.12

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Solution

The fourth proportional to 6,813.16, 10,226.89 and 6,038.12 is: 9,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.16 : 10,226.89 = 6,038.12 : x
  2. Step 2: Convert to fraction form
    6,813.16/10,226.89 = 6,038.12/x
  3. Step 3: Cross multiply
    6,813.16x = 10,226.89 × 6,038.12
  4. Step 4: Simplify right side
    6,813.16x = 61,751,189.05
  5. Step 5: Solve for x
    x = 61,751,189.05/6,813.16
  6. Step 6: Final answer
    x = 9,063.52

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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.