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Finding the Fourth Proportional to 10,950.53, 16,411.93 and 7,000.27

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Solution

The fourth proportional to 10,950.53, 16,411.93 and 7,000.27 is: 10,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.53 : 16,411.93 = 7,000.27 : x
  2. Step 2: Convert to fraction form
    10,950.53/16,411.93 = 7,000.27/x
  3. Step 3: Cross multiply
    10,950.53x = 16,411.93 × 7,000.27
  4. Step 4: Simplify right side
    10,950.53x = 114,887,882.69
  5. Step 5: Solve for x
    x = 114,887,882.69/10,950.53
  6. Step 6: Final answer
    x = 10,491.53

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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.