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Finding the Fourth Proportional to 10,541.48, 15,814.48 and 3,146.54

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Solution

The fourth proportional to 10,541.48, 15,814.48 and 3,146.54 is: 4,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.48 : 15,814.48 = 3,146.54 : x
  2. Step 2: Convert to fraction form
    10,541.48/15,814.48 = 3,146.54/x
  3. Step 3: Cross multiply
    10,541.48x = 15,814.48 × 3,146.54
  4. Step 4: Simplify right side
    10,541.48x = 49,760,893.90
  5. Step 5: Solve for x
    x = 49,760,893.90/10,541.48
  6. Step 6: Final answer
    x = 4,720.48

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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.