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Finding the Fourth Proportional to 8,055.76, 12,083.82 and 6,415.60

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Solution

The fourth proportional to 8,055.76, 12,083.82 and 6,415.60 is: 9,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.76 : 12,083.82 = 6,415.60 : x
  2. Step 2: Convert to fraction form
    8,055.76/12,083.82 = 6,415.60/x
  3. Step 3: Cross multiply
    8,055.76x = 12,083.82 × 6,415.60
  4. Step 4: Simplify right side
    8,055.76x = 77,524,955.59
  5. Step 5: Solve for x
    x = 77,524,955.59/8,055.76
  6. Step 6: Final answer
    x = 9,623.54

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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.