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Finding the Fourth Proportional to 6,160.09, 8,501 and 3,507.50

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Solution

The fourth proportional to 6,160.09, 8,501 and 3,507.50 is: 4,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.09 : 8,501 = 3,507.50 : x
  2. Step 2: Convert to fraction form
    6,160.09/8,501 = 3,507.50/x
  3. Step 3: Cross multiply
    6,160.09x = 8,501 × 3,507.50
  4. Step 4: Simplify right side
    6,160.09x = 29,817,257.50
  5. Step 5: Solve for x
    x = 29,817,257.50/6,160.09
  6. Step 6: Final answer
    x = 4,840.39

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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.