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Finding the Fourth Proportional to 8,624.25, 11,901.47 and 4,898.25

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Solution

The fourth proportional to 8,624.25, 11,901.47 and 4,898.25 is: 6,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.25 : 11,901.47 = 4,898.25 : x
  2. Step 2: Convert to fraction form
    8,624.25/11,901.47 = 4,898.25/x
  3. Step 3: Cross multiply
    8,624.25x = 11,901.47 × 4,898.25
  4. Step 4: Simplify right side
    8,624.25x = 58,296,350.94
  5. Step 5: Solve for x
    x = 58,296,350.94/8,624.25
  6. Step 6: Final answer
    x = 6,759.59

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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.