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Finding the Fourth Proportional to 6,362, 9,543.48 and 2,258

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Solution

The fourth proportional to 6,362, 9,543.48 and 2,258 is: 3,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362 : 9,543.48 = 2,258 : x
  2. Step 2: Convert to fraction form
    6,362/9,543.48 = 2,258/x
  3. Step 3: Cross multiply
    6,362x = 9,543.48 × 2,258
  4. Step 4: Simplify right side
    6,362x = 21,549,177.84
  5. Step 5: Solve for x
    x = 21,549,177.84/6,362
  6. Step 6: Final answer
    x = 3,387.17

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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.