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Finding the Fourth Proportional to 9,829.72, 13,577.99 and 7,282.65

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Solution

The fourth proportional to 9,829.72, 13,577.99 and 7,282.65 is: 10,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.72 : 13,577.99 = 7,282.65 : x
  2. Step 2: Convert to fraction form
    9,829.72/13,577.99 = 7,282.65/x
  3. Step 3: Cross multiply
    9,829.72x = 13,577.99 × 7,282.65
  4. Step 4: Simplify right side
    9,829.72x = 98,883,727.97
  5. Step 5: Solve for x
    x = 98,883,727.97/9,829.72
  6. Step 6: Final answer
    x = 10,059.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.