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Finding the Fourth Proportional to 4,653.76, 6,406.14 and 4,020.44

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Solution

The fourth proportional to 4,653.76, 6,406.14 and 4,020.44 is: 5,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.76 : 6,406.14 = 4,020.44 : x
  2. Step 2: Convert to fraction form
    4,653.76/6,406.14 = 4,020.44/x
  3. Step 3: Cross multiply
    4,653.76x = 6,406.14 × 4,020.44
  4. Step 4: Simplify right side
    4,653.76x = 25,755,501.50
  5. Step 5: Solve for x
    x = 25,755,501.50/4,653.76
  6. Step 6: Final answer
    x = 5,534.34

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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.