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Finding the Fourth Proportional to 7,866.37, 10,861.86 and 6,094.90

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Solution

The fourth proportional to 7,866.37, 10,861.86 and 6,094.90 is: 8,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.37 : 10,861.86 = 6,094.90 : x
  2. Step 2: Convert to fraction form
    7,866.37/10,861.86 = 6,094.90/x
  3. Step 3: Cross multiply
    7,866.37x = 10,861.86 × 6,094.90
  4. Step 4: Simplify right side
    7,866.37x = 66,201,950.51
  5. Step 5: Solve for x
    x = 66,201,950.51/7,866.37
  6. Step 6: Final answer
    x = 8,415.82

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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.