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Finding the Fourth Proportional to 9,663.95, 14,561.76 and 7,947.41

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Solution

The fourth proportional to 9,663.95, 14,561.76 and 7,947.41 is: 11,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.95 : 14,561.76 = 7,947.41 : x
  2. Step 2: Convert to fraction form
    9,663.95/14,561.76 = 7,947.41/x
  3. Step 3: Cross multiply
    9,663.95x = 14,561.76 × 7,947.41
  4. Step 4: Simplify right side
    9,663.95x = 115,728,164.50
  5. Step 5: Solve for x
    x = 115,728,164.50/9,663.95
  6. Step 6: Final answer
    x = 11,975.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.