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Finding the Fourth Proportional to 6,348.24, 8,813.34 and 6,158.16

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Solution

The fourth proportional to 6,348.24, 8,813.34 and 6,158.16 is: 8,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.24 : 8,813.34 = 6,158.16 : x
  2. Step 2: Convert to fraction form
    6,348.24/8,813.34 = 6,158.16/x
  3. Step 3: Cross multiply
    6,348.24x = 8,813.34 × 6,158.16
  4. Step 4: Simplify right side
    6,348.24x = 54,273,957.85
  5. Step 5: Solve for x
    x = 54,273,957.85/6,348.24
  6. Step 6: Final answer
    x = 8,549.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.