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Finding the Fourth Proportional to 7,462.36, 11,177.33 and 7,255.00

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Solution

The fourth proportional to 7,462.36, 11,177.33 and 7,255.00 is: 10,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.36 : 11,177.33 = 7,255.00 : x
  2. Step 2: Convert to fraction form
    7,462.36/11,177.33 = 7,255.00/x
  3. Step 3: Cross multiply
    7,462.36x = 11,177.33 × 7,255.00
  4. Step 4: Simplify right side
    7,462.36x = 81,091,473.26
  5. Step 5: Solve for x
    x = 81,091,473.26/7,462.36
  6. Step 6: Final answer
    x = 10,866.74

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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.