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Finding the Fourth Proportional to 14,282.16, 19,706.62 and 9,245.67

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Solution

The fourth proportional to 14,282.16, 19,706.62 and 9,245.67 is: 12,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.16 : 19,706.62 = 9,245.67 : x
  2. Step 2: Convert to fraction form
    14,282.16/19,706.62 = 9,245.67/x
  3. Step 3: Cross multiply
    14,282.16x = 19,706.62 × 9,245.67
  4. Step 4: Simplify right side
    14,282.16x = 182,200,905.34
  5. Step 5: Solve for x
    x = 182,200,905.34/14,282.16
  6. Step 6: Final answer
    x = 12,757.24

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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.