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Finding the Fourth Proportional to 7,065.50, 9,750.39 and 4,271

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Solution

The fourth proportional to 7,065.50, 9,750.39 and 4,271 is: 5,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.50 : 9,750.39 = 4,271 : x
  2. Step 2: Convert to fraction form
    7,065.50/9,750.39 = 4,271/x
  3. Step 3: Cross multiply
    7,065.50x = 9,750.39 × 4,271
  4. Step 4: Simplify right side
    7,065.50x = 41,643,915.69
  5. Step 5: Solve for x
    x = 41,643,915.69/7,065.50
  6. Step 6: Final answer
    x = 5,893.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.