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Finding the Fourth Proportional to 6,664.09, 9,235.34 and 6,570.13

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Solution

The fourth proportional to 6,664.09, 9,235.34 and 6,570.13 is: 9,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.09 : 9,235.34 = 6,570.13 : x
  2. Step 2: Convert to fraction form
    6,664.09/9,235.34 = 6,570.13/x
  3. Step 3: Cross multiply
    6,664.09x = 9,235.34 × 6,570.13
  4. Step 4: Simplify right side
    6,664.09x = 60,677,384.39
  5. Step 5: Solve for x
    x = 60,677,384.39/6,664.09
  6. Step 6: Final answer
    x = 9,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.