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Finding the Fourth Proportional to 4,605.63, 6,355.83 and 2,509.74

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Solution

The fourth proportional to 4,605.63, 6,355.83 and 2,509.74 is: 3,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.63 : 6,355.83 = 2,509.74 : x
  2. Step 2: Convert to fraction form
    4,605.63/6,355.83 = 2,509.74/x
  3. Step 3: Cross multiply
    4,605.63x = 6,355.83 × 2,509.74
  4. Step 4: Simplify right side
    4,605.63x = 15,951,480.78
  5. Step 5: Solve for x
    x = 15,951,480.78/4,605.63
  6. Step 6: Final answer
    x = 3,463.47

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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.