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Finding the Fourth Proportional to 11,813.69, 16,303.01 and 6,508.53

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Solution

The fourth proportional to 11,813.69, 16,303.01 and 6,508.53 is: 8,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.69 : 16,303.01 = 6,508.53 : x
  2. Step 2: Convert to fraction form
    11,813.69/16,303.01 = 6,508.53/x
  3. Step 3: Cross multiply
    11,813.69x = 16,303.01 × 6,508.53
  4. Step 4: Simplify right side
    11,813.69x = 106,108,597.13
  5. Step 5: Solve for x
    x = 106,108,597.13/11,813.69
  6. Step 6: Final answer
    x = 8,981.83

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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.