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Finding the Fourth Proportional to 13,415.61, 18,513.93 and 7,366.14

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Solution

The fourth proportional to 13,415.61, 18,513.93 and 7,366.14 is: 10,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.61 : 18,513.93 = 7,366.14 : x
  2. Step 2: Convert to fraction form
    13,415.61/18,513.93 = 7,366.14/x
  3. Step 3: Cross multiply
    13,415.61x = 18,513.93 × 7,366.14
  4. Step 4: Simplify right side
    13,415.61x = 136,376,200.33
  5. Step 5: Solve for x
    x = 136,376,200.33/13,415.61
  6. Step 6: Final answer
    x = 10,165.49

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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.