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Finding the Fourth Proportional to 6,414.09, 8,847.14 and 4,824.87

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Solution

The fourth proportional to 6,414.09, 8,847.14 and 4,824.87 is: 6,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.09 : 8,847.14 = 4,824.87 : x
  2. Step 2: Convert to fraction form
    6,414.09/8,847.14 = 4,824.87/x
  3. Step 3: Cross multiply
    6,414.09x = 8,847.14 × 4,824.87
  4. Step 4: Simplify right side
    6,414.09x = 42,686,276.25
  5. Step 5: Solve for x
    x = 42,686,276.25/6,414.09
  6. Step 6: Final answer
    x = 6,655.08

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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.