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Finding the Fourth Proportional to 8,288.01, 11,437.34 and 4,562.01

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Solution

The fourth proportional to 8,288.01, 11,437.34 and 4,562.01 is: 6,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.01 : 11,437.34 = 4,562.01 : x
  2. Step 2: Convert to fraction form
    8,288.01/11,437.34 = 4,562.01/x
  3. Step 3: Cross multiply
    8,288.01x = 11,437.34 × 4,562.01
  4. Step 4: Simplify right side
    8,288.01x = 52,177,236.64
  5. Step 5: Solve for x
    x = 52,177,236.64/8,288.01
  6. Step 6: Final answer
    x = 6,295.51

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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.