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Finding the Fourth Proportional to 9,974.70, 13,762.17 and 6,200.64

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Solution

The fourth proportional to 9,974.70, 13,762.17 and 6,200.64 is: 8,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.70 : 13,762.17 = 6,200.64 : x
  2. Step 2: Convert to fraction form
    9,974.70/13,762.17 = 6,200.64/x
  3. Step 3: Cross multiply
    9,974.70x = 13,762.17 × 6,200.64
  4. Step 4: Simplify right side
    9,974.70x = 85,334,261.79
  5. Step 5: Solve for x
    x = 85,334,261.79/9,974.70
  6. Step 6: Final answer
    x = 8,555.07

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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.