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Finding the Fourth Proportional to 9,682.94, 14,507.40 and 6,905.46

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Solution

The fourth proportional to 9,682.94, 14,507.40 and 6,905.46 is: 10,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.94 : 14,507.40 = 6,905.46 : x
  2. Step 2: Convert to fraction form
    9,682.94/14,507.40 = 6,905.46/x
  3. Step 3: Cross multiply
    9,682.94x = 14,507.40 × 6,905.46
  4. Step 4: Simplify right side
    9,682.94x = 100,180,270.40
  5. Step 5: Solve for x
    x = 100,180,270.40/9,682.94
  6. Step 6: Final answer
    x = 10,346.06

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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.