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Finding the Fourth Proportional to 12,242.64, 16,894.83 and 7,274.64

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Solution

The fourth proportional to 12,242.64, 16,894.83 and 7,274.64 is: 10,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.64 : 16,894.83 = 7,274.64 : x
  2. Step 2: Convert to fraction form
    12,242.64/16,894.83 = 7,274.64/x
  3. Step 3: Cross multiply
    12,242.64x = 16,894.83 × 7,274.64
  4. Step 4: Simplify right side
    12,242.64x = 122,903,806.11
  5. Step 5: Solve for x
    x = 122,903,806.11/12,242.64
  6. Step 6: Final answer
    x = 10,039.00

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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.