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Finding the Fourth Proportional to 10,006.96, 13,794.96 and 7,013.76

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Solution

The fourth proportional to 10,006.96, 13,794.96 and 7,013.76 is: 9,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.96 : 13,794.96 = 7,013.76 : x
  2. Step 2: Convert to fraction form
    10,006.96/13,794.96 = 7,013.76/x
  3. Step 3: Cross multiply
    10,006.96x = 13,794.96 × 7,013.76
  4. Step 4: Simplify right side
    10,006.96x = 96,754,538.65
  5. Step 5: Solve for x
    x = 96,754,538.65/10,006.96
  6. Step 6: Final answer
    x = 9,668.72

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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.