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Finding the Fourth Proportional to 9,803.63, 13,519.71 and 7,561.96

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Solution

The fourth proportional to 9,803.63, 13,519.71 and 7,561.96 is: 10,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.63 : 13,519.71 = 7,561.96 : x
  2. Step 2: Convert to fraction form
    9,803.63/13,519.71 = 7,561.96/x
  3. Step 3: Cross multiply
    9,803.63x = 13,519.71 × 7,561.96
  4. Step 4: Simplify right side
    9,803.63x = 102,235,472.43
  5. Step 5: Solve for x
    x = 102,235,472.43/9,803.63
  6. Step 6: Final answer
    x = 10,428.33

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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.