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Finding the Fourth Proportional to 6,156.06, 9,226.05 and 5,374.05

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Solution

The fourth proportional to 6,156.06, 9,226.05 and 5,374.05 is: 8,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.06 : 9,226.05 = 5,374.05 : x
  2. Step 2: Convert to fraction form
    6,156.06/9,226.05 = 5,374.05/x
  3. Step 3: Cross multiply
    6,156.06x = 9,226.05 × 5,374.05
  4. Step 4: Simplify right side
    6,156.06x = 49,581,254.00
  5. Step 5: Solve for x
    x = 49,581,254.00/6,156.06
  6. Step 6: Final answer
    x = 8,054.06

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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.