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Finding the Fourth Proportional to 7,912.98, 11,865.48 and 4,214.16

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Solution

The fourth proportional to 7,912.98, 11,865.48 and 4,214.16 is: 6,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.98 : 11,865.48 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    7,912.98/11,865.48 = 4,214.16/x
  3. Step 3: Cross multiply
    7,912.98x = 11,865.48 × 4,214.16
  4. Step 4: Simplify right side
    7,912.98x = 50,003,031.20
  5. Step 5: Solve for x
    x = 50,003,031.20/7,912.98
  6. Step 6: Final answer
    x = 6,319.12

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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.