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Finding the Fourth Proportional to 6,355.98, 9,534.60 and 1,738.98

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Solution

The fourth proportional to 6,355.98, 9,534.60 and 1,738.98 is: 2,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.98 : 9,534.60 = 1,738.98 : x
  2. Step 2: Convert to fraction form
    6,355.98/9,534.60 = 1,738.98/x
  3. Step 3: Cross multiply
    6,355.98x = 9,534.60 × 1,738.98
  4. Step 4: Simplify right side
    6,355.98x = 16,580,478.71
  5. Step 5: Solve for x
    x = 16,580,478.71/6,355.98
  6. Step 6: Final answer
    x = 2,608.64

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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.