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Finding the Fourth Proportional to 6,178.57, 8,469.22 and 6,095.50

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Solution

The fourth proportional to 6,178.57, 8,469.22 and 6,095.50 is: 8,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.57 : 8,469.22 = 6,095.50 : x
  2. Step 2: Convert to fraction form
    6,178.57/8,469.22 = 6,095.50/x
  3. Step 3: Cross multiply
    6,178.57x = 8,469.22 × 6,095.50
  4. Step 4: Simplify right side
    6,178.57x = 51,624,130.51
  5. Step 5: Solve for x
    x = 51,624,130.51/6,178.57
  6. Step 6: Final answer
    x = 8,355.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.