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Finding the Fourth Proportional to 13,715.76, 18,927.76 and 7,428.12

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Solution

The fourth proportional to 13,715.76, 18,927.76 and 7,428.12 is: 10,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.76 : 18,927.76 = 7,428.12 : x
  2. Step 2: Convert to fraction form
    13,715.76/18,927.76 = 7,428.12/x
  3. Step 3: Cross multiply
    13,715.76x = 18,927.76 × 7,428.12
  4. Step 4: Simplify right side
    13,715.76x = 140,597,672.61
  5. Step 5: Solve for x
    x = 140,597,672.61/13,715.76
  6. Step 6: Final answer
    x = 10,250.81

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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.