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Finding the Fourth Proportional to 13,552.49, 18,701.11 and 7,887.98

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Solution

The fourth proportional to 13,552.49, 18,701.11 and 7,887.98 is: 10,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.49 : 18,701.11 = 7,887.98 : x
  2. Step 2: Convert to fraction form
    13,552.49/18,701.11 = 7,887.98/x
  3. Step 3: Cross multiply
    13,552.49x = 18,701.11 × 7,887.98
  4. Step 4: Simplify right side
    13,552.49x = 147,513,981.66
  5. Step 5: Solve for x
    x = 147,513,981.66/13,552.49
  6. Step 6: Final answer
    x = 10,884.64

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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.