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Finding the Fourth Proportional to 6,356.80, 9,533.15 and 5,942.18

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Solution

The fourth proportional to 6,356.80, 9,533.15 and 5,942.18 is: 8,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.80 : 9,533.15 = 5,942.18 : x
  2. Step 2: Convert to fraction form
    6,356.80/9,533.15 = 5,942.18/x
  3. Step 3: Cross multiply
    6,356.80x = 9,533.15 × 5,942.18
  4. Step 4: Simplify right side
    6,356.80x = 56,647,693.27
  5. Step 5: Solve for x
    x = 56,647,693.27/6,356.80
  6. Step 6: Final answer
    x = 8,911.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.