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Finding the Fourth Proportional to 15,897.49, 21,938.60 and 8,823.98

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Solution

The fourth proportional to 15,897.49, 21,938.60 and 8,823.98 is: 12,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.49 : 21,938.60 = 8,823.98 : x
  2. Step 2: Convert to fraction form
    15,897.49/21,938.60 = 8,823.98/x
  3. Step 3: Cross multiply
    15,897.49x = 21,938.60 × 8,823.98
  4. Step 4: Simplify right side
    15,897.49x = 193,585,767.63
  5. Step 5: Solve for x
    x = 193,585,767.63/15,897.49
  6. Step 6: Final answer
    x = 12,177.13

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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.