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Finding the Fourth Proportional to 6,846.60, 9,466.74 and 5,971.80

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Solution

The fourth proportional to 6,846.60, 9,466.74 and 5,971.80 is: 8,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.60 : 9,466.74 = 5,971.80 : x
  2. Step 2: Convert to fraction form
    6,846.60/9,466.74 = 5,971.80/x
  3. Step 3: Cross multiply
    6,846.60x = 9,466.74 × 5,971.80
  4. Step 4: Simplify right side
    6,846.60x = 56,533,477.93
  5. Step 5: Solve for x
    x = 56,533,477.93/6,846.60
  6. Step 6: Final answer
    x = 8,257.16

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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.