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Finding the Fourth Proportional to 6,300.50, 9,449.91 and 2,140.34

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Solution

The fourth proportional to 6,300.50, 9,449.91 and 2,140.34 is: 3,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.50 : 9,449.91 = 2,140.34 : x
  2. Step 2: Convert to fraction form
    6,300.50/9,449.91 = 2,140.34/x
  3. Step 3: Cross multiply
    6,300.50x = 9,449.91 × 2,140.34
  4. Step 4: Simplify right side
    6,300.50x = 20,225,973.12
  5. Step 5: Solve for x
    x = 20,225,973.12/6,300.50
  6. Step 6: Final answer
    x = 3,210.22

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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.