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Finding the Fourth Proportional to 6,735.18, 9,295.47 and 4,258.38

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Solution

The fourth proportional to 6,735.18, 9,295.47 and 4,258.38 is: 5,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.18 : 9,295.47 = 4,258.38 : x
  2. Step 2: Convert to fraction form
    6,735.18/9,295.47 = 4,258.38/x
  3. Step 3: Cross multiply
    6,735.18x = 9,295.47 × 4,258.38
  4. Step 4: Simplify right side
    6,735.18x = 39,583,643.54
  5. Step 5: Solve for x
    x = 39,583,643.54/6,735.18
  6. Step 6: Final answer
    x = 5,877.15

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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.