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Finding the Fourth Proportional to 13,693.97, 18,897.93 and 8,032.80

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Solution

The fourth proportional to 13,693.97, 18,897.93 and 8,032.80 is: 11,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.97 : 18,897.93 = 8,032.80 : x
  2. Step 2: Convert to fraction form
    13,693.97/18,897.93 = 8,032.80/x
  3. Step 3: Cross multiply
    13,693.97x = 18,897.93 × 8,032.80
  4. Step 4: Simplify right side
    13,693.97x = 151,803,362.97
  5. Step 5: Solve for x
    x = 151,803,362.97/13,693.97
  6. Step 6: Final answer
    x = 11,085.41

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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.