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Finding the Fourth Proportional to 6,457.81, 9,686.72 and 2,562.22

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Solution

The fourth proportional to 6,457.81, 9,686.72 and 2,562.22 is: 3,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.81 : 9,686.72 = 2,562.22 : x
  2. Step 2: Convert to fraction form
    6,457.81/9,686.72 = 2,562.22/x
  3. Step 3: Cross multiply
    6,457.81x = 9,686.72 × 2,562.22
  4. Step 4: Simplify right side
    6,457.81x = 24,819,477.10
  5. Step 5: Solve for x
    x = 24,819,477.10/6,457.81
  6. Step 6: Final answer
    x = 3,843.33

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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.