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Finding the Fourth Proportional to 11,572.03, 15,969.42 and 6,266.84

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Solution

The fourth proportional to 11,572.03, 15,969.42 and 6,266.84 is: 8,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.03 : 15,969.42 = 6,266.84 : x
  2. Step 2: Convert to fraction form
    11,572.03/15,969.42 = 6,266.84/x
  3. Step 3: Cross multiply
    11,572.03x = 15,969.42 × 6,266.84
  4. Step 4: Simplify right side
    11,572.03x = 100,077,800.03
  5. Step 5: Solve for x
    x = 100,077,800.03/11,572.03
  6. Step 6: Final answer
    x = 8,648.25

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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.