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Finding the Fourth Proportional to 5,673.14, 7,827.12 and 3,434.30

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Solution

The fourth proportional to 5,673.14, 7,827.12 and 3,434.30 is: 4,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.14 : 7,827.12 = 3,434.30 : x
  2. Step 2: Convert to fraction form
    5,673.14/7,827.12 = 3,434.30/x
  3. Step 3: Cross multiply
    5,673.14x = 7,827.12 × 3,434.30
  4. Step 4: Simplify right side
    5,673.14x = 26,880,639.08
  5. Step 5: Solve for x
    x = 26,880,639.08/5,673.14
  6. Step 6: Final answer
    x = 4,738.23

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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.