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Finding the Fourth Proportional to 15,897.51, 21,933.49 and 9,182.25

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Solution

The fourth proportional to 15,897.51, 21,933.49 and 9,182.25 is: 12,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.51 : 21,933.49 = 9,182.25 : x
  2. Step 2: Convert to fraction form
    15,897.51/21,933.49 = 9,182.25/x
  3. Step 3: Cross multiply
    15,897.51x = 21,933.49 × 9,182.25
  4. Step 4: Simplify right side
    15,897.51x = 201,398,788.55
  5. Step 5: Solve for x
    x = 201,398,788.55/15,897.51
  6. Step 6: Final answer
    x = 12,668.57

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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.