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Finding the Fourth Proportional to 6,082.93, 8,394.93 and 3,430.58

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Solution

The fourth proportional to 6,082.93, 8,394.93 and 3,430.58 is: 4,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.93 : 8,394.93 = 3,430.58 : x
  2. Step 2: Convert to fraction form
    6,082.93/8,394.93 = 3,430.58/x
  3. Step 3: Cross multiply
    6,082.93x = 8,394.93 × 3,430.58
  4. Step 4: Simplify right side
    6,082.93x = 28,799,461.81
  5. Step 5: Solve for x
    x = 28,799,461.81/6,082.93
  6. Step 6: Final answer
    x = 4,734.48

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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.