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Finding the Fourth Proportional to 8,190.97, 11,303.57 and 4,788.17

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Solution

The fourth proportional to 8,190.97, 11,303.57 and 4,788.17 is: 6,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.97 : 11,303.57 = 4,788.17 : x
  2. Step 2: Convert to fraction form
    8,190.97/11,303.57 = 4,788.17/x
  3. Step 3: Cross multiply
    8,190.97x = 11,303.57 × 4,788.17
  4. Step 4: Simplify right side
    8,190.97x = 54,123,455.00
  5. Step 5: Solve for x
    x = 54,123,455.00/8,190.97
  6. Step 6: Final answer
    x = 6,607.70

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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.