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Finding the Fourth Proportional to 6,164.16, 8,508.32 and 3,513

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Solution

The fourth proportional to 6,164.16, 8,508.32 and 3,513 is: 4,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.16 : 8,508.32 = 3,513 : x
  2. Step 2: Convert to fraction form
    6,164.16/8,508.32 = 3,513/x
  3. Step 3: Cross multiply
    6,164.16x = 8,508.32 × 3,513
  4. Step 4: Simplify right side
    6,164.16x = 29,889,728.16
  5. Step 5: Solve for x
    x = 29,889,728.16/6,164.16
  6. Step 6: Final answer
    x = 4,848.95

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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.