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Finding the Fourth Proportional to 4,762.76, 6,571 and 3,086.32

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Solution

The fourth proportional to 4,762.76, 6,571 and 3,086.32 is: 4,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.76 : 6,571 = 3,086.32 : x
  2. Step 2: Convert to fraction form
    4,762.76/6,571 = 3,086.32/x
  3. Step 3: Cross multiply
    4,762.76x = 6,571 × 3,086.32
  4. Step 4: Simplify right side
    4,762.76x = 20,280,208.72
  5. Step 5: Solve for x
    x = 20,280,208.72/4,762.76
  6. Step 6: Final answer
    x = 4,258.08

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Double 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.