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Finding the Fourth Proportional to 6,564, 9,833.58 and 5,085.78

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Solution

The fourth proportional to 6,564, 9,833.58 and 5,085.78 is: 7,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 9,833.58 = 5,085.78 : x
  2. Step 2: Convert to fraction form
    6,564/9,833.58 = 5,085.78/x
  3. Step 3: Cross multiply
    6,564x = 9,833.58 × 5,085.78
  4. Step 4: Simplify right side
    6,564x = 50,011,424.49
  5. Step 5: Solve for x
    x = 50,011,424.49/6,564
  6. Step 6: Final answer
    x = 7,619.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.