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Finding the Fourth Proportional to 9,471.00, 13,064.64 and 5,928.06

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Solution

The fourth proportional to 9,471.00, 13,064.64 and 5,928.06 is: 8,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.00 : 13,064.64 = 5,928.06 : x
  2. Step 2: Convert to fraction form
    9,471.00/13,064.64 = 5,928.06/x
  3. Step 3: Cross multiply
    9,471.00x = 13,064.64 × 5,928.06
  4. Step 4: Simplify right side
    9,471.00x = 77,447,996.56
  5. Step 5: Solve for x
    x = 77,447,996.56/9,471.00
  6. Step 6: Final answer
    x = 8,177.38

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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.