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Finding the Fourth Proportional to 9,814.57, 14,729.65 and 5,136.01

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Solution

The fourth proportional to 9,814.57, 14,729.65 and 5,136.01 is: 7,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.57 : 14,729.65 = 5,136.01 : x
  2. Step 2: Convert to fraction form
    9,814.57/14,729.65 = 5,136.01/x
  3. Step 3: Cross multiply
    9,814.57x = 14,729.65 × 5,136.01
  4. Step 4: Simplify right side
    9,814.57x = 75,651,580.03
  5. Step 5: Solve for x
    x = 75,651,580.03/9,814.57
  6. Step 6: Final answer
    x = 7,708.09

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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.