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Finding the Fourth Proportional to 9,206.50, 13,809.75 and 2,281

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Solution

The fourth proportional to 9,206.50, 13,809.75 and 2,281 is: 3,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.50 : 13,809.75 = 2,281 : x
  2. Step 2: Convert to fraction form
    9,206.50/13,809.75 = 2,281/x
  3. Step 3: Cross multiply
    9,206.50x = 13,809.75 × 2,281
  4. Step 4: Simplify right side
    9,206.50x = 31,500,039.75
  5. Step 5: Solve for x
    x = 31,500,039.75/9,206.50
  6. Step 6: Final answer
    x = 3,421.50

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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.