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Finding the Fourth Proportional to 18,632.94, 27,946.37 and 5,482.24

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Solution

The fourth proportional to 18,632.94, 27,946.37 and 5,482.24 is: 8,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.94 : 27,946.37 = 5,482.24 : x
  2. Step 2: Convert to fraction form
    18,632.94/27,946.37 = 5,482.24/x
  3. Step 3: Cross multiply
    18,632.94x = 27,946.37 × 5,482.24
  4. Step 4: Simplify right side
    18,632.94x = 153,208,707.47
  5. Step 5: Solve for x
    x = 153,208,707.47/18,632.94
  6. Step 6: Final answer
    x = 8,222.47

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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.