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Finding the Fourth Proportional to 6,892.86, 10,337.74 and 1,962.40

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Solution

The fourth proportional to 6,892.86, 10,337.74 and 1,962.40 is: 2,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.86 : 10,337.74 = 1,962.40 : x
  2. Step 2: Convert to fraction form
    6,892.86/10,337.74 = 1,962.40/x
  3. Step 3: Cross multiply
    6,892.86x = 10,337.74 × 1,962.40
  4. Step 4: Simplify right side
    6,892.86x = 20,286,780.98
  5. Step 5: Solve for x
    x = 20,286,780.98/6,892.86
  6. Step 6: Final answer
    x = 2,943.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.