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Finding the Fourth Proportional to 9,740.68, 14,611.06 and 5,355.74

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Solution

The fourth proportional to 9,740.68, 14,611.06 and 5,355.74 is: 8,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.68 : 14,611.06 = 5,355.74 : x
  2. Step 2: Convert to fraction form
    9,740.68/14,611.06 = 5,355.74/x
  3. Step 3: Cross multiply
    9,740.68x = 14,611.06 × 5,355.74
  4. Step 4: Simplify right side
    9,740.68x = 78,253,038.48
  5. Step 5: Solve for x
    x = 78,253,038.48/9,740.68
  6. Step 6: Final answer
    x = 8,033.63

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Double scale
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Similar ratio
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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.