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Finding the Fourth Proportional to 6,466.39, 8,925.84 and 3,813.64

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Solution

The fourth proportional to 6,466.39, 8,925.84 and 3,813.64 is: 5,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.39 : 8,925.84 = 3,813.64 : x
  2. Step 2: Convert to fraction form
    6,466.39/8,925.84 = 3,813.64/x
  3. Step 3: Cross multiply
    6,466.39x = 8,925.84 × 3,813.64
  4. Step 4: Simplify right side
    6,466.39x = 34,039,918.14
  5. Step 5: Solve for x
    x = 34,039,918.14/6,466.39
  6. Step 6: Final answer
    x = 5,264.13

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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.