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Finding the Fourth Proportional to 10,549, 14,556.36 and 5,832.64

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Solution

The fourth proportional to 10,549, 14,556.36 and 5,832.64 is: 8,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549 : 14,556.36 = 5,832.64 : x
  2. Step 2: Convert to fraction form
    10,549/14,556.36 = 5,832.64/x
  3. Step 3: Cross multiply
    10,549x = 14,556.36 × 5,832.64
  4. Step 4: Simplify right side
    10,549x = 84,902,007.59
  5. Step 5: Solve for x
    x = 84,902,007.59/10,549
  6. Step 6: Final answer
    x = 8,048.35

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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.