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Finding the Fourth Proportional to 4,715.69, 7,101.74 and 4,295.31

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Solution

The fourth proportional to 4,715.69, 7,101.74 and 4,295.31 is: 6,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.69 : 7,101.74 = 4,295.31 : x
  2. Step 2: Convert to fraction form
    4,715.69/7,101.74 = 4,295.31/x
  3. Step 3: Cross multiply
    4,715.69x = 7,101.74 × 4,295.31
  4. Step 4: Simplify right side
    4,715.69x = 30,504,203.22
  5. Step 5: Solve for x
    x = 30,504,203.22/4,715.69
  6. Step 6: Final answer
    x = 6,468.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.