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Finding the Fourth Proportional to 11,459.50, 15,814.12 and 6,491.50

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Solution

The fourth proportional to 11,459.50, 15,814.12 and 6,491.50 is: 8,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.50 : 15,814.12 = 6,491.50 : x
  2. Step 2: Convert to fraction form
    11,459.50/15,814.12 = 6,491.50/x
  3. Step 3: Cross multiply
    11,459.50x = 15,814.12 × 6,491.50
  4. Step 4: Simplify right side
    11,459.50x = 102,657,359.98
  5. Step 5: Solve for x
    x = 102,657,359.98/11,459.50
  6. Step 6: Final answer
    x = 8,958.28

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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.