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Finding the Fourth Proportional to 13,633.76, 18,814.49 and 7,583.81

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Solution

The fourth proportional to 13,633.76, 18,814.49 and 7,583.81 is: 10,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.76 : 18,814.49 = 7,583.81 : x
  2. Step 2: Convert to fraction form
    13,633.76/18,814.49 = 7,583.81/x
  3. Step 3: Cross multiply
    13,633.76x = 18,814.49 × 7,583.81
  4. Step 4: Simplify right side
    13,633.76x = 142,685,385.42
  5. Step 5: Solve for x
    x = 142,685,385.42/13,633.76
  6. Step 6: Final answer
    x = 10,465.60

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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.