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Finding the Fourth Proportional to 10,967.70, 16,415.10 and 10,967.70

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Solution

The fourth proportional to 10,967.70, 16,415.10 and 10,967.70 is: 16,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.70 : 16,415.10 = 10,967.70 : x
  2. Step 2: Convert to fraction form
    10,967.70/16,415.10 = 10,967.70/x
  3. Step 3: Cross multiply
    10,967.70x = 16,415.10 × 10,967.70
  4. Step 4: Simplify right side
    10,967.70x = 180,035,892.27
  5. Step 5: Solve for x
    x = 180,035,892.27/10,967.70
  6. Step 6: Final answer
    x = 16,415.10

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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.