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Finding the Fourth Proportional to 6,814.86, 10,234.62 and 6,266.04

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Solution

The fourth proportional to 6,814.86, 10,234.62 and 6,266.04 is: 9,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.86 : 10,234.62 = 6,266.04 : x
  2. Step 2: Convert to fraction form
    6,814.86/10,234.62 = 6,266.04/x
  3. Step 3: Cross multiply
    6,814.86x = 10,234.62 × 6,266.04
  4. Step 4: Simplify right side
    6,814.86x = 64,130,538.30
  5. Step 5: Solve for x
    x = 64,130,538.30/6,814.86
  6. Step 6: Final answer
    x = 9,410.40

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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.