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Finding the Fourth Proportional to 8,371.00, 11,549.11 and 4,783.38

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Solution

The fourth proportional to 8,371.00, 11,549.11 and 4,783.38 is: 6,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.00 : 11,549.11 = 4,783.38 : x
  2. Step 2: Convert to fraction form
    8,371.00/11,549.11 = 4,783.38/x
  3. Step 3: Cross multiply
    8,371.00x = 11,549.11 × 4,783.38
  4. Step 4: Simplify right side
    8,371.00x = 55,243,700.13
  5. Step 5: Solve for x
    x = 55,243,700.13/8,371.00
  6. Step 6: Final answer
    x = 6,599.42

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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.