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Finding the Fourth Proportional to 9,342.84, 12,893.04 and 5,151

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Solution

The fourth proportional to 9,342.84, 12,893.04 and 5,151 is: 7,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.84 : 12,893.04 = 5,151 : x
  2. Step 2: Convert to fraction form
    9,342.84/12,893.04 = 5,151/x
  3. Step 3: Cross multiply
    9,342.84x = 12,893.04 × 5,151
  4. Step 4: Simplify right side
    9,342.84x = 66,412,049.04
  5. Step 5: Solve for x
    x = 66,412,049.04/9,342.84
  6. Step 6: Final answer
    x = 7,108.34

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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.