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Finding the Fourth Proportional to 25,315.75, 37,973.67 and 6,847.75

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Solution

The fourth proportional to 25,315.75, 37,973.67 and 6,847.75 is: 10,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315.75 : 37,973.67 = 6,847.75 : x
  2. Step 2: Convert to fraction form
    25,315.75/37,973.67 = 6,847.75/x
  3. Step 3: Cross multiply
    25,315.75x = 37,973.67 × 6,847.75
  4. Step 4: Simplify right side
    25,315.75x = 260,034,198.74
  5. Step 5: Solve for x
    x = 260,034,198.74/25,315.75
  6. Step 6: Final answer
    x = 10,271.64

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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.