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Finding the Fourth Proportional to 7,137.40, 9,851.86 and 4,902.40

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Solution

The fourth proportional to 7,137.40, 9,851.86 and 4,902.40 is: 6,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.40 : 9,851.86 = 4,902.40 : x
  2. Step 2: Convert to fraction form
    7,137.40/9,851.86 = 4,902.40/x
  3. Step 3: Cross multiply
    7,137.40x = 9,851.86 × 4,902.40
  4. Step 4: Simplify right side
    7,137.40x = 48,297,758.46
  5. Step 5: Solve for x
    x = 48,297,758.46/7,137.40
  6. Step 6: Final answer
    x = 6,766.86

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1.5x scale

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.