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Finding the Fourth Proportional to 6,457.56, 9,686.34 and 4,265.79

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Solution

The fourth proportional to 6,457.56, 9,686.34 and 4,265.79 is: 6,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.56 : 9,686.34 = 4,265.79 : x
  2. Step 2: Convert to fraction form
    6,457.56/9,686.34 = 4,265.79/x
  3. Step 3: Cross multiply
    6,457.56x = 9,686.34 × 4,265.79
  4. Step 4: Simplify right side
    6,457.56x = 41,319,892.31
  5. Step 5: Solve for x
    x = 41,319,892.31/6,457.56
  6. Step 6: Final answer
    x = 6,398.69

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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.