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Finding the Fourth Proportional to 10,017.81, 13,824.48 and 5,541.48

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Solution

The fourth proportional to 10,017.81, 13,824.48 and 5,541.48 is: 7,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.81 : 13,824.48 = 5,541.48 : x
  2. Step 2: Convert to fraction form
    10,017.81/13,824.48 = 5,541.48/x
  3. Step 3: Cross multiply
    10,017.81x = 13,824.48 × 5,541.48
  4. Step 4: Simplify right side
    10,017.81x = 76,608,079.43
  5. Step 5: Solve for x
    x = 76,608,079.43/10,017.81
  6. Step 6: Final answer
    x = 7,647.19

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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.