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Finding the Fourth Proportional to 4,863.16, 6,705.64 and 4,228.12

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Solution

The fourth proportional to 4,863.16, 6,705.64 and 4,228.12 is: 5,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.16 : 6,705.64 = 4,228.12 : x
  2. Step 2: Convert to fraction form
    4,863.16/6,705.64 = 4,228.12/x
  3. Step 3: Cross multiply
    4,863.16x = 6,705.64 × 4,228.12
  4. Step 4: Simplify right side
    4,863.16x = 28,352,239.12
  5. Step 5: Solve for x
    x = 28,352,239.12/4,863.16
  6. Step 6: Final answer
    x = 5,830.01

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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.