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Finding the Fourth Proportional to 9,471.02, 14,193.86 and 7,268.93

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Solution

The fourth proportional to 9,471.02, 14,193.86 and 7,268.93 is: 10,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.02 : 14,193.86 = 7,268.93 : x
  2. Step 2: Convert to fraction form
    9,471.02/14,193.86 = 7,268.93/x
  3. Step 3: Cross multiply
    9,471.02x = 14,193.86 × 7,268.93
  4. Step 4: Simplify right side
    9,471.02x = 103,174,067.46
  5. Step 5: Solve for x
    x = 103,174,067.46/9,471.02
  6. Step 6: Final answer
    x = 10,893.67

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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.