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Finding the Fourth Proportional to 7,029.44, 9,705.12 and 4,938.56

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Solution

The fourth proportional to 7,029.44, 9,705.12 and 4,938.56 is: 6,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.44 : 9,705.12 = 4,938.56 : x
  2. Step 2: Convert to fraction form
    7,029.44/9,705.12 = 4,938.56/x
  3. Step 3: Cross multiply
    7,029.44x = 9,705.12 × 4,938.56
  4. Step 4: Simplify right side
    7,029.44x = 47,929,317.43
  5. Step 5: Solve for x
    x = 47,929,317.43/7,029.44
  6. Step 6: Final answer
    x = 6,818.37

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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.