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Finding the Fourth Proportional to 7,562.54, 11,292.83 and 6,178.61

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Solution

The fourth proportional to 7,562.54, 11,292.83 and 6,178.61 is: 9,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.54 : 11,292.83 = 6,178.61 : x
  2. Step 2: Convert to fraction form
    7,562.54/11,292.83 = 6,178.61/x
  3. Step 3: Cross multiply
    7,562.54x = 11,292.83 × 6,178.61
  4. Step 4: Simplify right side
    7,562.54x = 69,773,905.01
  5. Step 5: Solve for x
    x = 69,773,905.01/7,562.54
  6. Step 6: Final answer
    x = 9,226.26

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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.