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Finding the Fourth Proportional to 13,478.05, 18,600.48 and 7,509.97

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Solution

The fourth proportional to 13,478.05, 18,600.48 and 7,509.97 is: 10,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.05 : 18,600.48 = 7,509.97 : x
  2. Step 2: Convert to fraction form
    13,478.05/18,600.48 = 7,509.97/x
  3. Step 3: Cross multiply
    13,478.05x = 18,600.48 × 7,509.97
  4. Step 4: Simplify right side
    13,478.05x = 139,689,046.79
  5. Step 5: Solve for x
    x = 139,689,046.79/13,478.05
  6. Step 6: Final answer
    x = 10,364.19

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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.