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Finding the Fourth Proportional to 6,294.51, 8,686.53 and 3,462.12

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Solution

The fourth proportional to 6,294.51, 8,686.53 and 3,462.12 is: 4,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.51 : 8,686.53 = 3,462.12 : x
  2. Step 2: Convert to fraction form
    6,294.51/8,686.53 = 3,462.12/x
  3. Step 3: Cross multiply
    6,294.51x = 8,686.53 × 3,462.12
  4. Step 4: Simplify right side
    6,294.51x = 30,073,809.24
  5. Step 5: Solve for x
    x = 30,073,809.24/6,294.51
  6. Step 6: Final answer
    x = 4,777.78

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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.