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Finding the Fourth Proportional to 15,466.64, 23,189.16 and 4,933.16

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Solution

The fourth proportional to 15,466.64, 23,189.16 and 4,933.16 is: 7,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466.64 : 23,189.16 = 4,933.16 : x
  2. Step 2: Convert to fraction form
    15,466.64/23,189.16 = 4,933.16/x
  3. Step 3: Cross multiply
    15,466.64x = 23,189.16 × 4,933.16
  4. Step 4: Simplify right side
    15,466.64x = 114,395,836.55
  5. Step 5: Solve for x
    x = 114,395,836.55/15,466.64
  6. Step 6: Final answer
    x = 7,396.30

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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.