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Finding the Fourth Proportional to 9,751.24, 14,622.23 and 4,815.11

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Solution

The fourth proportional to 9,751.24, 14,622.23 and 4,815.11 is: 7,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.24 : 14,622.23 = 4,815.11 : x
  2. Step 2: Convert to fraction form
    9,751.24/14,622.23 = 4,815.11/x
  3. Step 3: Cross multiply
    9,751.24x = 14,622.23 × 4,815.11
  4. Step 4: Simplify right side
    9,751.24x = 70,407,645.90
  5. Step 5: Solve for x
    x = 70,407,645.90/9,751.24
  6. Step 6: Final answer
    x = 7,220.38

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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.