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Finding the Fourth Proportional to 6,946.37, 9,576.02 and 4,953.47

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Solution

The fourth proportional to 6,946.37, 9,576.02 and 4,953.47 is: 6,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.37 : 9,576.02 = 4,953.47 : x
  2. Step 2: Convert to fraction form
    6,946.37/9,576.02 = 4,953.47/x
  3. Step 3: Cross multiply
    6,946.37x = 9,576.02 × 4,953.47
  4. Step 4: Simplify right side
    6,946.37x = 47,434,455.14
  5. Step 5: Solve for x
    x = 47,434,455.14/6,946.37
  6. Step 6: Final answer
    x = 6,828.67

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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.