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Finding the Fourth Proportional to 9,462.99, 14,173.82 and 7,800.87

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Solution

The fourth proportional to 9,462.99, 14,173.82 and 7,800.87 is: 11,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.99 : 14,173.82 = 7,800.87 : x
  2. Step 2: Convert to fraction form
    9,462.99/14,173.82 = 7,800.87/x
  3. Step 3: Cross multiply
    9,462.99x = 14,173.82 × 7,800.87
  4. Step 4: Simplify right side
    9,462.99x = 110,568,088.22
  5. Step 5: Solve for x
    x = 110,568,088.22/9,462.99
  6. Step 6: Final answer
    x = 11,684.27

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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.