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Finding the Fourth Proportional to 7,735.03, 10,675.20 and 4,591.42

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Solution

The fourth proportional to 7,735.03, 10,675.20 and 4,591.42 is: 6,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.03 : 10,675.20 = 4,591.42 : x
  2. Step 2: Convert to fraction form
    7,735.03/10,675.20 = 4,591.42/x
  3. Step 3: Cross multiply
    7,735.03x = 10,675.20 × 4,591.42
  4. Step 4: Simplify right side
    7,735.03x = 49,014,326.78
  5. Step 5: Solve for x
    x = 49,014,326.78/7,735.03
  6. Step 6: Final answer
    x = 6,336.67

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.