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Finding the Fourth Proportional to 12,315.36, 18,482.76 and 5,738.16

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Solution

The fourth proportional to 12,315.36, 18,482.76 and 5,738.16 is: 8,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.36 : 18,482.76 = 5,738.16 : x
  2. Step 2: Convert to fraction form
    12,315.36/18,482.76 = 5,738.16/x
  3. Step 3: Cross multiply
    12,315.36x = 18,482.76 × 5,738.16
  4. Step 4: Simplify right side
    12,315.36x = 106,057,034.12
  5. Step 5: Solve for x
    x = 106,057,034.12/12,315.36
  6. Step 6: Final answer
    x = 8,611.77

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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.