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Finding the Fourth Proportional to 6,562.09, 9,848.83 and 3,444.31

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Solution

The fourth proportional to 6,562.09, 9,848.83 and 3,444.31 is: 5,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.09 : 9,848.83 = 3,444.31 : x
  2. Step 2: Convert to fraction form
    6,562.09/9,848.83 = 3,444.31/x
  3. Step 3: Cross multiply
    6,562.09x = 9,848.83 × 3,444.31
  4. Step 4: Simplify right side
    6,562.09x = 33,922,423.66
  5. Step 5: Solve for x
    x = 33,922,423.66/6,562.09
  6. Step 6: Final answer
    x = 5,169.45

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1.5x scale

Why These Related Problems?

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