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Finding the Fourth Proportional to 4,706.75, 7,058.88 and 2,236.65

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Solution

The fourth proportional to 4,706.75, 7,058.88 and 2,236.65 is: 3,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.75 : 7,058.88 = 2,236.65 : x
  2. Step 2: Convert to fraction form
    4,706.75/7,058.88 = 2,236.65/x
  3. Step 3: Cross multiply
    4,706.75x = 7,058.88 × 2,236.65
  4. Step 4: Simplify right side
    4,706.75x = 15,788,243.95
  5. Step 5: Solve for x
    x = 15,788,243.95/4,706.75
  6. Step 6: Final answer
    x = 3,354.39

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Half scale
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Double scale
Find fourth proportional to 4,707.75, 7,060.38 and 2,237.65
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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.