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Finding the Fourth Proportional to 4,605.46, 6,863.53 and 4,457.86

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Solution

The fourth proportional to 4,605.46, 6,863.53 and 4,457.86 is: 6,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.46 : 6,863.53 = 4,457.86 : x
  2. Step 2: Convert to fraction form
    4,605.46/6,863.53 = 4,457.86/x
  3. Step 3: Cross multiply
    4,605.46x = 6,863.53 × 4,457.86
  4. Step 4: Simplify right side
    4,605.46x = 30,596,633.56
  5. Step 5: Solve for x
    x = 30,596,633.56/4,605.46
  6. Step 6: Final answer
    x = 6,643.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.