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Finding the Fourth Proportional to 4,685.23, 6,471.86 and 3,811.65

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Solution

The fourth proportional to 4,685.23, 6,471.86 and 3,811.65 is: 5,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.23 : 6,471.86 = 3,811.65 : x
  2. Step 2: Convert to fraction form
    4,685.23/6,471.86 = 3,811.65/x
  3. Step 3: Cross multiply
    4,685.23x = 6,471.86 × 3,811.65
  4. Step 4: Simplify right side
    4,685.23x = 24,668,465.17
  5. Step 5: Solve for x
    x = 24,668,465.17/4,685.23
  6. Step 6: Final answer
    x = 5,265.16

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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.