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Finding the Fourth Proportional to 4,686.28, 6,453.88 and 4,584.22

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Solution

The fourth proportional to 4,686.28, 6,453.88 and 4,584.22 is: 6,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.28 : 6,453.88 = 4,584.22 : x
  2. Step 2: Convert to fraction form
    4,686.28/6,453.88 = 4,584.22/x
  3. Step 3: Cross multiply
    4,686.28x = 6,453.88 × 4,584.22
  4. Step 4: Simplify right side
    4,686.28x = 29,586,005.77
  5. Step 5: Solve for x
    x = 29,586,005.77/4,686.28
  6. Step 6: Final answer
    x = 6,313.32

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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.