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Finding the Fourth Proportional to 4,706.05, 7,059.07 and 1,196.32

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Solution

The fourth proportional to 4,706.05, 7,059.07 and 1,196.32 is: 1,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.05 : 7,059.07 = 1,196.32 : x
  2. Step 2: Convert to fraction form
    4,706.05/7,059.07 = 1,196.32/x
  3. Step 3: Cross multiply
    4,706.05x = 7,059.07 × 1,196.32
  4. Step 4: Simplify right side
    4,706.05x = 8,444,871.33
  5. Step 5: Solve for x
    x = 8,444,871.33/4,706.05
  6. Step 6: Final answer
    x = 1,794.47

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Half scale
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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.