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Finding the Fourth Proportional to 9,706.22, 14,548.94 and 5,021.51

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Solution

The fourth proportional to 9,706.22, 14,548.94 and 5,021.51 is: 7,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.22 : 14,548.94 = 5,021.51 : x
  2. Step 2: Convert to fraction form
    9,706.22/14,548.94 = 5,021.51/x
  3. Step 3: Cross multiply
    9,706.22x = 14,548.94 × 5,021.51
  4. Step 4: Simplify right side
    9,706.22x = 73,057,549.85
  5. Step 5: Solve for x
    x = 73,057,549.85/9,706.22
  6. Step 6: Final answer
    x = 7,526.88

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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.