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Finding the Fourth Proportional to 12,862.22, 17,717.54 and 12,862.22

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Solution

The fourth proportional to 12,862.22, 17,717.54 and 12,862.22 is: 17,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.22 : 17,717.54 = 12,862.22 : x
  2. Step 2: Convert to fraction form
    12,862.22/17,717.54 = 12,862.22/x
  3. Step 3: Cross multiply
    12,862.22x = 17,717.54 × 12,862.22
  4. Step 4: Simplify right side
    12,862.22x = 227,886,897.34
  5. Step 5: Solve for x
    x = 227,886,897.34/12,862.22
  6. Step 6: Final answer
    x = 17,717.54

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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.