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Finding the Fourth Proportional to 6,358.26, 8,774.64 and 3,705.90

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Solution

The fourth proportional to 6,358.26, 8,774.64 and 3,705.90 is: 5,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.26 : 8,774.64 = 3,705.90 : x
  2. Step 2: Convert to fraction form
    6,358.26/8,774.64 = 3,705.90/x
  3. Step 3: Cross multiply
    6,358.26x = 8,774.64 × 3,705.90
  4. Step 4: Simplify right side
    6,358.26x = 32,517,938.38
  5. Step 5: Solve for x
    x = 32,517,938.38/6,358.26
  6. Step 6: Final answer
    x = 5,114.28

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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.