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Finding the Fourth Proportional to 14,609.84, 21,905.16 and 5,245.16

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Solution

The fourth proportional to 14,609.84, 21,905.16 and 5,245.16 is: 7,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.84 : 21,905.16 = 5,245.16 : x
  2. Step 2: Convert to fraction form
    14,609.84/21,905.16 = 5,245.16/x
  3. Step 3: Cross multiply
    14,609.84x = 21,905.16 × 5,245.16
  4. Step 4: Simplify right side
    14,609.84x = 114,896,069.03
  5. Step 5: Solve for x
    x = 114,896,069.03/14,609.84
  6. Step 6: Final answer
    x = 7,864.29

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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.