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Finding the Fourth Proportional to 17,527.80, 26,278.74 and 8,283

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Solution

The fourth proportional to 17,527.80, 26,278.74 and 8,283 is: 12,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.80 : 26,278.74 = 8,283 : x
  2. Step 2: Convert to fraction form
    17,527.80/26,278.74 = 8,283/x
  3. Step 3: Cross multiply
    17,527.80x = 26,278.74 × 8,283
  4. Step 4: Simplify right side
    17,527.80x = 217,666,803.42
  5. Step 5: Solve for x
    x = 217,666,803.42/17,527.80
  6. Step 6: Final answer
    x = 12,418.38

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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.