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Finding the Fourth Proportional to 6,457.07, 9,686.99 and 2,074.50

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Solution

The fourth proportional to 6,457.07, 9,686.99 and 2,074.50 is: 3,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.07 : 9,686.99 = 2,074.50 : x
  2. Step 2: Convert to fraction form
    6,457.07/9,686.99 = 2,074.50/x
  3. Step 3: Cross multiply
    6,457.07x = 9,686.99 × 2,074.50
  4. Step 4: Simplify right side
    6,457.07x = 20,095,650.38
  5. Step 5: Solve for x
    x = 20,095,650.38/6,457.07
  6. Step 6: Final answer
    x = 3,112.20

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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.