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Finding the Fourth Proportional to 6,212.56, 8,566.15 and 4,952.63

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Solution

The fourth proportional to 6,212.56, 8,566.15 and 4,952.63 is: 6,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.56 : 8,566.15 = 4,952.63 : x
  2. Step 2: Convert to fraction form
    6,212.56/8,566.15 = 4,952.63/x
  3. Step 3: Cross multiply
    6,212.56x = 8,566.15 × 4,952.63
  4. Step 4: Simplify right side
    6,212.56x = 42,424,971.47
  5. Step 5: Solve for x
    x = 42,424,971.47/6,212.56
  6. Step 6: Final answer
    x = 6,828.90

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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.