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Finding the Fourth Proportional to 8,997, 12,417.54 and 5,271

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Solution

The fourth proportional to 8,997, 12,417.54 and 5,271 is: 7,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997 : 12,417.54 = 5,271 : x
  2. Step 2: Convert to fraction form
    8,997/12,417.54 = 5,271/x
  3. Step 3: Cross multiply
    8,997x = 12,417.54 × 5,271
  4. Step 4: Simplify right side
    8,997x = 65,452,853.34
  5. Step 5: Solve for x
    x = 65,452,853.34/8,997
  6. Step 6: Final answer
    x = 7,274.96

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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.