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Finding the Fourth Proportional to 12,703.73, 17,533.20 and 7,668.71

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Solution

The fourth proportional to 12,703.73, 17,533.20 and 7,668.71 is: 10,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.73 : 17,533.20 = 7,668.71 : x
  2. Step 2: Convert to fraction form
    12,703.73/17,533.20 = 7,668.71/x
  3. Step 3: Cross multiply
    12,703.73x = 17,533.20 × 7,668.71
  4. Step 4: Simplify right side
    12,703.73x = 134,457,026.17
  5. Step 5: Solve for x
    x = 134,457,026.17/12,703.73
  6. Step 6: Final answer
    x = 10,584.06

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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.