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Finding the Fourth Proportional to 9,206.56, 13,809.84 and 5,509.88

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Solution

The fourth proportional to 9,206.56, 13,809.84 and 5,509.88 is: 8,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.56 : 13,809.84 = 5,509.88 : x
  2. Step 2: Convert to fraction form
    9,206.56/13,809.84 = 5,509.88/x
  3. Step 3: Cross multiply
    9,206.56x = 13,809.84 × 5,509.88
  4. Step 4: Simplify right side
    9,206.56x = 76,090,561.22
  5. Step 5: Solve for x
    x = 76,090,561.22/9,206.56
  6. Step 6: Final answer
    x = 8,264.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.