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Finding the Fourth Proportional to 9,768.03, 14,632.41 and 4,495.67

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Solution

The fourth proportional to 9,768.03, 14,632.41 and 4,495.67 is: 6,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.03 : 14,632.41 = 4,495.67 : x
  2. Step 2: Convert to fraction form
    9,768.03/14,632.41 = 4,495.67/x
  3. Step 3: Cross multiply
    9,768.03x = 14,632.41 × 4,495.67
  4. Step 4: Simplify right side
    9,768.03x = 65,782,485.23
  5. Step 5: Solve for x
    x = 65,782,485.23/9,768.03
  6. Step 6: Final answer
    x = 6,734.47

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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.