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Finding the Fourth Proportional to 8,288.45, 11,437.94 and 4,562.45

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Solution

The fourth proportional to 8,288.45, 11,437.94 and 4,562.45 is: 6,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.45 : 11,437.94 = 4,562.45 : x
  2. Step 2: Convert to fraction form
    8,288.45/11,437.94 = 4,562.45/x
  3. Step 3: Cross multiply
    8,288.45x = 11,437.94 × 4,562.45
  4. Step 4: Simplify right side
    8,288.45x = 52,185,029.35
  5. Step 5: Solve for x
    x = 52,185,029.35/8,288.45
  6. Step 6: Final answer
    x = 6,296.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.