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Finding the Fourth Proportional to 9,678.54, 13,363.23 and 7,556.46

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Solution

The fourth proportional to 9,678.54, 13,363.23 and 7,556.46 is: 10,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.54 : 13,363.23 = 7,556.46 : x
  2. Step 2: Convert to fraction form
    9,678.54/13,363.23 = 7,556.46/x
  3. Step 3: Cross multiply
    9,678.54x = 13,363.23 × 7,556.46
  4. Step 4: Simplify right side
    9,678.54x = 100,978,712.97
  5. Step 5: Solve for x
    x = 100,978,712.97/9,678.54
  6. Step 6: Final answer
    x = 10,433.26

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1.5x scale

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.