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Finding the Fourth Proportional to 11,561.61, 15,963.90 and 9,583.59

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Solution

The fourth proportional to 11,561.61, 15,963.90 and 9,583.59 is: 13,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.61 : 15,963.90 = 9,583.59 : x
  2. Step 2: Convert to fraction form
    11,561.61/15,963.90 = 9,583.59/x
  3. Step 3: Cross multiply
    11,561.61x = 15,963.90 × 9,583.59
  4. Step 4: Simplify right side
    11,561.61x = 152,991,472.40
  5. Step 5: Solve for x
    x = 152,991,472.40/11,561.61
  6. Step 6: Final answer
    x = 13,232.71

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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.