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Finding the Fourth Proportional to 6,193.06, 9,229.95 and 6,141.42

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Solution

The fourth proportional to 6,193.06, 9,229.95 and 6,141.42 is: 9,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.06 : 9,229.95 = 6,141.42 : x
  2. Step 2: Convert to fraction form
    6,193.06/9,229.95 = 6,141.42/x
  3. Step 3: Cross multiply
    6,193.06x = 9,229.95 × 6,141.42
  4. Step 4: Simplify right side
    6,193.06x = 56,684,999.53
  5. Step 5: Solve for x
    x = 56,684,999.53/6,193.06
  6. Step 6: Final answer
    x = 9,152.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.