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Finding the Fourth Proportional to 6,338.42, 9,506.42 and 2,442.32

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Solution

The fourth proportional to 6,338.42, 9,506.42 and 2,442.32 is: 3,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.42 : 9,506.42 = 2,442.32 : x
  2. Step 2: Convert to fraction form
    6,338.42/9,506.42 = 2,442.32/x
  3. Step 3: Cross multiply
    6,338.42x = 9,506.42 × 2,442.32
  4. Step 4: Simplify right side
    6,338.42x = 23,217,707.48
  5. Step 5: Solve for x
    x = 23,217,707.48/6,338.42
  6. Step 6: Final answer
    x = 3,663.01

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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.