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Finding the Fourth Proportional to 6,495.32, 8,962.24 and 3,843.16

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Solution

The fourth proportional to 6,495.32, 8,962.24 and 3,843.16 is: 5,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.32 : 8,962.24 = 3,843.16 : x
  2. Step 2: Convert to fraction form
    6,495.32/8,962.24 = 3,843.16/x
  3. Step 3: Cross multiply
    6,495.32x = 8,962.24 × 3,843.16
  4. Step 4: Simplify right side
    6,495.32x = 34,443,322.28
  5. Step 5: Solve for x
    x = 34,443,322.28/6,495.32
  6. Step 6: Final answer
    x = 5,302.79

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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.