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Finding the Fourth Proportional to 9,975.92, 13,768.40 and 6,001.05

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Solution

The fourth proportional to 9,975.92, 13,768.40 and 6,001.05 is: 8,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.92 : 13,768.40 = 6,001.05 : x
  2. Step 2: Convert to fraction form
    9,975.92/13,768.40 = 6,001.05/x
  3. Step 3: Cross multiply
    9,975.92x = 13,768.40 × 6,001.05
  4. Step 4: Simplify right side
    9,975.92x = 82,624,826.81
  5. Step 5: Solve for x
    x = 82,624,826.81/9,975.92
  6. Step 6: Final answer
    x = 8,282.43

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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.