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Finding the Fourth Proportional to 4,574.77, 6,313.12 and 2,585.97

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Solution

The fourth proportional to 4,574.77, 6,313.12 and 2,585.97 is: 3,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.77 : 6,313.12 = 2,585.97 : x
  2. Step 2: Convert to fraction form
    4,574.77/6,313.12 = 2,585.97/x
  3. Step 3: Cross multiply
    4,574.77x = 6,313.12 × 2,585.97
  4. Step 4: Simplify right side
    4,574.77x = 16,325,532.46
  5. Step 5: Solve for x
    x = 16,325,532.46/4,574.77
  6. Step 6: Final answer
    x = 3,568.60

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Half scale
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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.