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Finding the Fourth Proportional to 12,136.17, 16,749.04 and 7,100.07

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Solution

The fourth proportional to 12,136.17, 16,749.04 and 7,100.07 is: 9,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.17 : 16,749.04 = 7,100.07 : x
  2. Step 2: Convert to fraction form
    12,136.17/16,749.04 = 7,100.07/x
  3. Step 3: Cross multiply
    12,136.17x = 16,749.04 × 7,100.07
  4. Step 4: Simplify right side
    12,136.17x = 118,919,322.72
  5. Step 5: Solve for x
    x = 118,919,322.72/12,136.17
  6. Step 6: Final answer
    x = 9,798.75

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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.