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Finding the Fourth Proportional to 13,415.36, 18,513 and 7,446.92

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Solution

The fourth proportional to 13,415.36, 18,513 and 7,446.92 is: 10,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.36 : 18,513 = 7,446.92 : x
  2. Step 2: Convert to fraction form
    13,415.36/18,513 = 7,446.92/x
  3. Step 3: Cross multiply
    13,415.36x = 18,513 × 7,446.92
  4. Step 4: Simplify right side
    13,415.36x = 137,864,737.40
  5. Step 5: Solve for x
    x = 137,864,737.40/13,415.36
  6. Step 6: Final answer
    x = 10,276.64

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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.