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Finding the Fourth Proportional to 6,213.06, 8,566.84 and 4,953.13

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Solution

The fourth proportional to 6,213.06, 8,566.84 and 4,953.13 is: 6,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.06 : 8,566.84 = 4,953.13 : x
  2. Step 2: Convert to fraction form
    6,213.06/8,566.84 = 4,953.13/x
  3. Step 3: Cross multiply
    6,213.06x = 8,566.84 × 4,953.13
  4. Step 4: Simplify right side
    6,213.06x = 42,432,672.21
  5. Step 5: Solve for x
    x = 42,432,672.21/6,213.06
  6. Step 6: Final answer
    x = 6,829.59

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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.