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Finding the Fourth Proportional to 4,684.68, 6,460.02 and 4,023.72

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Solution

The fourth proportional to 4,684.68, 6,460.02 and 4,023.72 is: 5,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.68 : 6,460.02 = 4,023.72 : x
  2. Step 2: Convert to fraction form
    4,684.68/6,460.02 = 4,023.72/x
  3. Step 3: Cross multiply
    4,684.68x = 6,460.02 × 4,023.72
  4. Step 4: Simplify right side
    4,684.68x = 25,993,311.67
  5. Step 5: Solve for x
    x = 25,993,311.67/4,684.68
  6. Step 6: Final answer
    x = 5,548.58

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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.