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Finding the Fourth Proportional to 4,686.53, 6,454.23 and 4,584.47

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Solution

The fourth proportional to 4,686.53, 6,454.23 and 4,584.47 is: 6,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.53 : 6,454.23 = 4,584.47 : x
  2. Step 2: Convert to fraction form
    4,686.53/6,454.23 = 4,584.47/x
  3. Step 3: Cross multiply
    4,686.53x = 6,454.23 × 4,584.47
  4. Step 4: Simplify right side
    4,686.53x = 29,589,191.54
  5. Step 5: Solve for x
    x = 29,589,191.54/4,686.53
  6. Step 6: Final answer
    x = 6,313.67

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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.