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Finding the Fourth Proportional to 6,214.37, 8,577.64 and 4,964.13

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Solution

The fourth proportional to 6,214.37, 8,577.64 and 4,964.13 is: 6,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.37 : 8,577.64 = 4,964.13 : x
  2. Step 2: Convert to fraction form
    6,214.37/8,577.64 = 4,964.13/x
  3. Step 3: Cross multiply
    6,214.37x = 8,577.64 × 4,964.13
  4. Step 4: Simplify right side
    6,214.37x = 42,580,529.09
  5. Step 5: Solve for x
    x = 42,580,529.09/6,214.37
  6. Step 6: Final answer
    x = 6,851.95

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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.