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Finding the Fourth Proportional to 9,106.60, 13,657.98 and 4,424.60

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Solution

The fourth proportional to 9,106.60, 13,657.98 and 4,424.60 is: 6,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.60 : 13,657.98 = 4,424.60 : x
  2. Step 2: Convert to fraction form
    9,106.60/13,657.98 = 4,424.60/x
  3. Step 3: Cross multiply
    9,106.60x = 13,657.98 × 4,424.60
  4. Step 4: Simplify right side
    9,106.60x = 60,431,098.31
  5. Step 5: Solve for x
    x = 60,431,098.31/9,106.60
  6. Step 6: Final answer
    x = 6,635.97

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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.