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Finding the Fourth Proportional to 7,867.95, 10,852.97 and 6,186.66

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Solution

The fourth proportional to 7,867.95, 10,852.97 and 6,186.66 is: 8,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.95 : 10,852.97 = 6,186.66 : x
  2. Step 2: Convert to fraction form
    7,867.95/10,852.97 = 6,186.66/x
  3. Step 3: Cross multiply
    7,867.95x = 10,852.97 × 6,186.66
  4. Step 4: Simplify right side
    7,867.95x = 67,143,604.45
  5. Step 5: Solve for x
    x = 67,143,604.45/7,867.95
  6. Step 6: Final answer
    x = 8,533.81

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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.