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Finding the Fourth Proportional to 36,143.76, 54,218.46 and 9,849.54

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Solution

The fourth proportional to 36,143.76, 54,218.46 and 9,849.54 is: 14,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.76 : 54,218.46 = 9,849.54 : x
  2. Step 2: Convert to fraction form
    36,143.76/54,218.46 = 9,849.54/x
  3. Step 3: Cross multiply
    36,143.76x = 54,218.46 × 9,849.54
  4. Step 4: Simplify right side
    36,143.76x = 534,026,890.51
  5. Step 5: Solve for x
    x = 534,026,890.51/36,143.76
  6. Step 6: Final answer
    x = 14,775.08

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1.5x scale

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.