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Finding the Fourth Proportional to 10,814.11, 14,923.24 and 6,509.84

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Solution

The fourth proportional to 10,814.11, 14,923.24 and 6,509.84 is: 8,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.11 : 14,923.24 = 6,509.84 : x
  2. Step 2: Convert to fraction form
    10,814.11/14,923.24 = 6,509.84/x
  3. Step 3: Cross multiply
    10,814.11x = 14,923.24 × 6,509.84
  4. Step 4: Simplify right side
    10,814.11x = 97,147,813.79
  5. Step 5: Solve for x
    x = 97,147,813.79/10,814.11
  6. Step 6: Final answer
    x = 8,983.43

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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.