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Finding the Fourth Proportional to 7,045, 10,568.22 and 2,428

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Solution

The fourth proportional to 7,045, 10,568.22 and 2,428 is: 3,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045 : 10,568.22 = 2,428 : x
  2. Step 2: Convert to fraction form
    7,045/10,568.22 = 2,428/x
  3. Step 3: Cross multiply
    7,045x = 10,568.22 × 2,428
  4. Step 4: Simplify right side
    7,045x = 25,659,638.16
  5. Step 5: Solve for x
    x = 25,659,638.16/7,045
  6. Step 6: Final answer
    x = 3,642.25

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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.