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Finding the Fourth Proportional to 13,023.51, 17,971.17 and 7,279.92

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Solution

The fourth proportional to 13,023.51, 17,971.17 and 7,279.92 is: 10,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.51 : 17,971.17 = 7,279.92 : x
  2. Step 2: Convert to fraction form
    13,023.51/17,971.17 = 7,279.92/x
  3. Step 3: Cross multiply
    13,023.51x = 17,971.17 × 7,279.92
  4. Step 4: Simplify right side
    13,023.51x = 130,828,679.91
  5. Step 5: Solve for x
    x = 130,828,679.91/13,023.51
  6. Step 6: Final answer
    x = 10,045.58

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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.