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Finding the Fourth Proportional to 6,598.31, 9,894.56 and 3,826.89

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Solution

The fourth proportional to 6,598.31, 9,894.56 and 3,826.89 is: 5,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.31 : 9,894.56 = 3,826.89 : x
  2. Step 2: Convert to fraction form
    6,598.31/9,894.56 = 3,826.89/x
  3. Step 3: Cross multiply
    6,598.31x = 9,894.56 × 3,826.89
  4. Step 4: Simplify right side
    6,598.31x = 37,865,373.58
  5. Step 5: Solve for x
    x = 37,865,373.58/6,598.31
  6. Step 6: Final answer
    x = 5,738.65

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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.