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Finding the Fourth Proportional to 6,925.38, 9,549.75 and 4,564.50

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Solution

The fourth proportional to 6,925.38, 9,549.75 and 4,564.50 is: 6,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.38 : 9,549.75 = 4,564.50 : x
  2. Step 2: Convert to fraction form
    6,925.38/9,549.75 = 4,564.50/x
  3. Step 3: Cross multiply
    6,925.38x = 9,549.75 × 4,564.50
  4. Step 4: Simplify right side
    6,925.38x = 43,589,833.88
  5. Step 5: Solve for x
    x = 43,589,833.88/6,925.38
  6. Step 6: Final answer
    x = 6,294.22

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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.