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Finding the Fourth Proportional to 9,673.61, 14,491.73 and 7,136.23

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Solution

The fourth proportional to 9,673.61, 14,491.73 and 7,136.23 is: 10,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.61 : 14,491.73 = 7,136.23 : x
  2. Step 2: Convert to fraction form
    9,673.61/14,491.73 = 7,136.23/x
  3. Step 3: Cross multiply
    9,673.61x = 14,491.73 × 7,136.23
  4. Step 4: Simplify right side
    9,673.61x = 103,416,318.38
  5. Step 5: Solve for x
    x = 103,416,318.38/9,673.61
  6. Step 6: Final answer
    x = 10,690.56

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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.