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Finding the Fourth Proportional to 13,114.92, 18,082.84 and 10,716.02

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Solution

The fourth proportional to 13,114.92, 18,082.84 and 10,716.02 is: 14,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.92 : 18,082.84 = 10,716.02 : x
  2. Step 2: Convert to fraction form
    13,114.92/18,082.84 = 10,716.02/x
  3. Step 3: Cross multiply
    13,114.92x = 18,082.84 × 10,716.02
  4. Step 4: Simplify right side
    13,114.92x = 193,776,075.10
  5. Step 5: Solve for x
    x = 193,776,075.10/13,114.92
  6. Step 6: Final answer
    x = 14,775.24

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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.