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Finding the Fourth Proportional to 12,506.10, 18,762.84 and 5,923.23

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Solution

The fourth proportional to 12,506.10, 18,762.84 and 5,923.23 is: 8,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.10 : 18,762.84 = 5,923.23 : x
  2. Step 2: Convert to fraction form
    12,506.10/18,762.84 = 5,923.23/x
  3. Step 3: Cross multiply
    12,506.10x = 18,762.84 × 5,923.23
  4. Step 4: Simplify right side
    12,506.10x = 111,136,546.41
  5. Step 5: Solve for x
    x = 111,136,546.41/12,506.10
  6. Step 6: Final answer
    x = 8,886.59

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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.