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Finding the Fourth Proportional to 11,797.65, 17,681.90 and 7,102.89

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Solution

The fourth proportional to 11,797.65, 17,681.90 and 7,102.89 is: 10,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.65 : 17,681.90 = 7,102.89 : x
  2. Step 2: Convert to fraction form
    11,797.65/17,681.90 = 7,102.89/x
  3. Step 3: Cross multiply
    11,797.65x = 17,681.90 × 7,102.89
  4. Step 4: Simplify right side
    11,797.65x = 125,592,555.18
  5. Step 5: Solve for x
    x = 125,592,555.18/11,797.65
  6. Step 6: Final answer
    x = 10,645.56

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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.