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Finding the Fourth Proportional to 6,480.14, 8,943.93 and 4,214.32

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Solution

The fourth proportional to 6,480.14, 8,943.93 and 4,214.32 is: 5,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.14 : 8,943.93 = 4,214.32 : x
  2. Step 2: Convert to fraction form
    6,480.14/8,943.93 = 4,214.32/x
  3. Step 3: Cross multiply
    6,480.14x = 8,943.93 × 4,214.32
  4. Step 4: Simplify right side
    6,480.14x = 37,692,583.08
  5. Step 5: Solve for x
    x = 37,692,583.08/6,480.14
  6. Step 6: Final answer
    x = 5,816.63

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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.