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Finding the Fourth Proportional to 6,556.75, 9,047.50 and 3,903.59

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Solution

The fourth proportional to 6,556.75, 9,047.50 and 3,903.59 is: 5,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.75 : 9,047.50 = 3,903.59 : x
  2. Step 2: Convert to fraction form
    6,556.75/9,047.50 = 3,903.59/x
  3. Step 3: Cross multiply
    6,556.75x = 9,047.50 × 3,903.59
  4. Step 4: Simplify right side
    6,556.75x = 35,317,743.38
  5. Step 5: Solve for x
    x = 35,317,743.38/6,556.75
  6. Step 6: Final answer
    x = 5,386.47

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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.