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Finding the Fourth Proportional to 24,466.46, 36,702.32 and 7,820.55

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Solution

The fourth proportional to 24,466.46, 36,702.32 and 7,820.55 is: 11,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.46 : 36,702.32 = 7,820.55 : x
  2. Step 2: Convert to fraction form
    24,466.46/36,702.32 = 7,820.55/x
  3. Step 3: Cross multiply
    24,466.46x = 36,702.32 × 7,820.55
  4. Step 4: Simplify right side
    24,466.46x = 287,032,289.57
  5. Step 5: Solve for x
    x = 287,032,289.57/24,466.46
  6. Step 6: Final answer
    x = 11,731.67

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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.