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Finding the Fourth Proportional to 25,188.57, 37,782.86 and 7,658.45

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Solution

The fourth proportional to 25,188.57, 37,782.86 and 7,658.45 is: 11,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.57 : 37,782.86 = 7,658.45 : x
  2. Step 2: Convert to fraction form
    25,188.57/37,782.86 = 7,658.45/x
  3. Step 3: Cross multiply
    25,188.57x = 37,782.86 × 7,658.45
  4. Step 4: Simplify right side
    25,188.57x = 289,358,058.65
  5. Step 5: Solve for x
    x = 289,358,058.65/25,188.57
  6. Step 6: Final answer
    x = 11,487.67

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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.