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Finding the Fourth Proportional to 9,673.62, 14,515.29 and 7,213.38

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Solution

The fourth proportional to 9,673.62, 14,515.29 and 7,213.38 is: 10,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.62 : 14,515.29 = 7,213.38 : x
  2. Step 2: Convert to fraction form
    9,673.62/14,515.29 = 7,213.38/x
  3. Step 3: Cross multiply
    9,673.62x = 14,515.29 × 7,213.38
  4. Step 4: Simplify right side
    9,673.62x = 104,704,302.58
  5. Step 5: Solve for x
    x = 104,704,302.58/9,673.62
  6. Step 6: Final answer
    x = 10,823.69

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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.