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Finding the Fourth Proportional to 6,258.50, 9,390.64 and 2,362.58

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Solution

The fourth proportional to 6,258.50, 9,390.64 and 2,362.58 is: 3,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.50 : 9,390.64 = 2,362.58 : x
  2. Step 2: Convert to fraction form
    6,258.50/9,390.64 = 2,362.58/x
  3. Step 3: Cross multiply
    6,258.50x = 9,390.64 × 2,362.58
  4. Step 4: Simplify right side
    6,258.50x = 22,186,138.25
  5. Step 5: Solve for x
    x = 22,186,138.25/6,258.50
  6. Step 6: Final answer
    x = 3,544.96

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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.