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Finding the Fourth Proportional to 9,698.94, 14,549.25 and 2,678.96

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Solution

The fourth proportional to 9,698.94, 14,549.25 and 2,678.96 is: 4,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.94 : 14,549.25 = 2,678.96 : x
  2. Step 2: Convert to fraction form
    9,698.94/14,549.25 = 2,678.96/x
  3. Step 3: Cross multiply
    9,698.94x = 14,549.25 × 2,678.96
  4. Step 4: Simplify right side
    9,698.94x = 38,976,858.78
  5. Step 5: Solve for x
    x = 38,976,858.78/9,698.94
  6. Step 6: Final answer
    x = 4,018.67

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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.