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Finding the Fourth Proportional to 4,294.06, 6,447.63 and 4,082.63

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Solution

The fourth proportional to 4,294.06, 6,447.63 and 4,082.63 is: 6,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.06 : 6,447.63 = 4,082.63 : x
  2. Step 2: Convert to fraction form
    4,294.06/6,447.63 = 4,082.63/x
  3. Step 3: Cross multiply
    4,294.06x = 6,447.63 × 4,082.63
  4. Step 4: Simplify right side
    4,294.06x = 26,323,255.43
  5. Step 5: Solve for x
    x = 26,323,255.43/4,294.06
  6. Step 6: Final answer
    x = 6,130.16

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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.