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Finding the Fourth Proportional to 13,574.34, 18,733.11 and 7,605.81

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Solution

The fourth proportional to 13,574.34, 18,733.11 and 7,605.81 is: 10,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.34 : 18,733.11 = 7,605.81 : x
  2. Step 2: Convert to fraction form
    13,574.34/18,733.11 = 7,605.81/x
  3. Step 3: Cross multiply
    13,574.34x = 18,733.11 × 7,605.81
  4. Step 4: Simplify right side
    13,574.34x = 142,480,475.37
  5. Step 5: Solve for x
    x = 142,480,475.37/13,574.34
  6. Step 6: Final answer
    x = 10,496.31

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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.