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Finding the Fourth Proportional to 6,813.04, 9,395.04 and 6,416.16

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Solution

The fourth proportional to 6,813.04, 9,395.04 and 6,416.16 is: 8,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.04 : 9,395.04 = 6,416.16 : x
  2. Step 2: Convert to fraction form
    6,813.04/9,395.04 = 6,416.16/x
  3. Step 3: Cross multiply
    6,813.04x = 9,395.04 × 6,416.16
  4. Step 4: Simplify right side
    6,813.04x = 60,280,079.85
  5. Step 5: Solve for x
    x = 60,280,079.85/6,813.04
  6. Step 6: Final answer
    x = 8,847.75

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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.