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Finding the Fourth Proportional to 12,638.23, 17,440.94 and 6,973.23

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Solution

The fourth proportional to 12,638.23, 17,440.94 and 6,973.23 is: 9,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.23 : 17,440.94 = 6,973.23 : x
  2. Step 2: Convert to fraction form
    12,638.23/17,440.94 = 6,973.23/x
  3. Step 3: Cross multiply
    12,638.23x = 17,440.94 × 6,973.23
  4. Step 4: Simplify right side
    12,638.23x = 121,619,686.04
  5. Step 5: Solve for x
    x = 121,619,686.04/12,638.23
  6. Step 6: Final answer
    x = 9,623.16

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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.