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Finding the Fourth Proportional to 10,032.77, 13,844.03 and 5,785.22

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Solution

The fourth proportional to 10,032.77, 13,844.03 and 5,785.22 is: 7,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.77 : 13,844.03 = 5,785.22 : x
  2. Step 2: Convert to fraction form
    10,032.77/13,844.03 = 5,785.22/x
  3. Step 3: Cross multiply
    10,032.77x = 13,844.03 × 5,785.22
  4. Step 4: Simplify right side
    10,032.77x = 80,090,808.31
  5. Step 5: Solve for x
    x = 80,090,808.31/10,032.77
  6. Step 6: Final answer
    x = 7,982.92

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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.