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Finding the Fourth Proportional to 6,307.74, 9,381.42 and 6,183.41

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Solution

The fourth proportional to 6,307.74, 9,381.42 and 6,183.41 is: 9,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.74 : 9,381.42 = 6,183.41 : x
  2. Step 2: Convert to fraction form
    6,307.74/9,381.42 = 6,183.41/x
  3. Step 3: Cross multiply
    6,307.74x = 9,381.42 × 6,183.41
  4. Step 4: Simplify right side
    6,307.74x = 58,009,119.34
  5. Step 5: Solve for x
    x = 58,009,119.34/6,307.74
  6. Step 6: Final answer
    x = 9,196.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.