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Finding the Fourth Proportional to 6,503.96, 9,754.32 and 4,029.68

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Solution

The fourth proportional to 6,503.96, 9,754.32 and 4,029.68 is: 6,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.96 : 9,754.32 = 4,029.68 : x
  2. Step 2: Convert to fraction form
    6,503.96/9,754.32 = 4,029.68/x
  3. Step 3: Cross multiply
    6,503.96x = 9,754.32 × 4,029.68
  4. Step 4: Simplify right side
    6,503.96x = 39,306,788.22
  5. Step 5: Solve for x
    x = 39,306,788.22/6,503.96
  6. Step 6: Final answer
    x = 6,043.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.