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Finding the Fourth Proportional to 8,273.02, 12,471.54 and 7,723.12

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Solution

The fourth proportional to 8,273.02, 12,471.54 and 7,723.12 is: 11,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.02 : 12,471.54 = 7,723.12 : x
  2. Step 2: Convert to fraction form
    8,273.02/12,471.54 = 7,723.12/x
  3. Step 3: Cross multiply
    8,273.02x = 12,471.54 × 7,723.12
  4. Step 4: Simplify right side
    8,273.02x = 96,319,200.00
  5. Step 5: Solve for x
    x = 96,319,200.00/8,273.02
  6. Step 6: Final answer
    x = 11,642.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.