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Finding the Fourth Proportional to 15,907.98, 23,841.39 and 6,537.42

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Solution

The fourth proportional to 15,907.98, 23,841.39 and 6,537.42 is: 9,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.98 : 23,841.39 = 6,537.42 : x
  2. Step 2: Convert to fraction form
    15,907.98/23,841.39 = 6,537.42/x
  3. Step 3: Cross multiply
    15,907.98x = 23,841.39 × 6,537.42
  4. Step 4: Simplify right side
    15,907.98x = 155,861,179.81
  5. Step 5: Solve for x
    x = 155,861,179.81/15,907.98
  6. Step 6: Final answer
    x = 9,797.67

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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.