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Finding the Fourth Proportional to 10,814.70, 14,924.35 and 6,035.10

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Solution

The fourth proportional to 10,814.70, 14,924.35 and 6,035.10 is: 8,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.70 : 14,924.35 = 6,035.10 : x
  2. Step 2: Convert to fraction form
    10,814.70/14,924.35 = 6,035.10/x
  3. Step 3: Cross multiply
    10,814.70x = 14,924.35 × 6,035.10
  4. Step 4: Simplify right side
    10,814.70x = 90,069,944.69
  5. Step 5: Solve for x
    x = 90,069,944.69/10,814.70
  6. Step 6: Final answer
    x = 8,328.47

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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.