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Finding the Fourth Proportional to 6,337.07, 9,506.68 and 1,953.71

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Solution

The fourth proportional to 6,337.07, 9,506.68 and 1,953.71 is: 2,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.07 : 9,506.68 = 1,953.71 : x
  2. Step 2: Convert to fraction form
    6,337.07/9,506.68 = 1,953.71/x
  3. Step 3: Cross multiply
    6,337.07x = 9,506.68 × 1,953.71
  4. Step 4: Simplify right side
    6,337.07x = 18,573,243.37
  5. Step 5: Solve for x
    x = 18,573,243.37/6,337.07
  6. Step 6: Final answer
    x = 2,930.89

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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.