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Finding the Fourth Proportional to 9,794.54, 13,507.29 and 7,552.87

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Solution

The fourth proportional to 9,794.54, 13,507.29 and 7,552.87 is: 10,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.54 : 13,507.29 = 7,552.87 : x
  2. Step 2: Convert to fraction form
    9,794.54/13,507.29 = 7,552.87/x
  3. Step 3: Cross multiply
    9,794.54x = 13,507.29 × 7,552.87
  4. Step 4: Simplify right side
    9,794.54x = 102,018,771.65
  5. Step 5: Solve for x
    x = 102,018,771.65/9,794.54
  6. Step 6: Final answer
    x = 10,415.88

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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.