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Finding the Fourth Proportional to 13,573.16, 18,730.74 and 7,604.81

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Solution

The fourth proportional to 13,573.16, 18,730.74 and 7,604.81 is: 10,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.16 : 18,730.74 = 7,604.81 : x
  2. Step 2: Convert to fraction form
    13,573.16/18,730.74 = 7,604.81/x
  3. Step 3: Cross multiply
    13,573.16x = 18,730.74 × 7,604.81
  4. Step 4: Simplify right side
    13,573.16x = 142,443,718.86
  5. Step 5: Solve for x
    x = 142,443,718.86/13,573.16
  6. Step 6: Final answer
    x = 10,494.51

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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.