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Finding the Fourth Proportional to 10,997.40, 16,463.70 and 9,701.40

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Solution

The fourth proportional to 10,997.40, 16,463.70 and 9,701.40 is: 14,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.40 : 16,463.70 = 9,701.40 : x
  2. Step 2: Convert to fraction form
    10,997.40/16,463.70 = 9,701.40/x
  3. Step 3: Cross multiply
    10,997.40x = 16,463.70 × 9,701.40
  4. Step 4: Simplify right side
    10,997.40x = 159,720,939.18
  5. Step 5: Solve for x
    x = 159,720,939.18/10,997.40
  6. Step 6: Final answer
    x = 14,523.52

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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.