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Finding the Fourth Proportional to 9,791.40, 14,696.70 and 4,866.60

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Solution

The fourth proportional to 9,791.40, 14,696.70 and 4,866.60 is: 7,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.40 : 14,696.70 = 4,866.60 : x
  2. Step 2: Convert to fraction form
    9,791.40/14,696.70 = 4,866.60/x
  3. Step 3: Cross multiply
    9,791.40x = 14,696.70 × 4,866.60
  4. Step 4: Simplify right side
    9,791.40x = 71,522,960.22
  5. Step 5: Solve for x
    x = 71,522,960.22/9,791.40
  6. Step 6: Final answer
    x = 7,304.67

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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.