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Finding the Fourth Proportional to 12,803.57, 17,668.33 and 7,138.94

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Solution

The fourth proportional to 12,803.57, 17,668.33 and 7,138.94 is: 9,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.57 : 17,668.33 = 7,138.94 : x
  2. Step 2: Convert to fraction form
    12,803.57/17,668.33 = 7,138.94/x
  3. Step 3: Cross multiply
    12,803.57x = 17,668.33 × 7,138.94
  4. Step 4: Simplify right side
    12,803.57x = 126,133,041.58
  5. Step 5: Solve for x
    x = 126,133,041.58/12,803.57
  6. Step 6: Final answer
    x = 9,851.40

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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.