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Finding the Fourth Proportional to 15,697.96, 21,661.74 and 8,982.40

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Solution

The fourth proportional to 15,697.96, 21,661.74 and 8,982.40 is: 12,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.96 : 21,661.74 = 8,982.40 : x
  2. Step 2: Convert to fraction form
    15,697.96/21,661.74 = 8,982.40/x
  3. Step 3: Cross multiply
    15,697.96x = 21,661.74 × 8,982.40
  4. Step 4: Simplify right side
    15,697.96x = 194,574,413.38
  5. Step 5: Solve for x
    x = 194,574,413.38/15,697.96
  6. Step 6: Final answer
    x = 12,394.89

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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.