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Finding the Fourth Proportional to 26,700, 40,047.24 and 6,975.99

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Solution

The fourth proportional to 26,700, 40,047.24 and 6,975.99 is: 10,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,700 : 40,047.24 = 6,975.99 : x
  2. Step 2: Convert to fraction form
    26,700/40,047.24 = 6,975.99/x
  3. Step 3: Cross multiply
    26,700x = 40,047.24 × 6,975.99
  4. Step 4: Simplify right side
    26,700x = 279,369,145.77
  5. Step 5: Solve for x
    x = 279,369,145.77/26,700
  6. Step 6: Final answer
    x = 10,463.26

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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.