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Finding the Fourth Proportional to 10,278.20, 14,356.67 and 10,278.20

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Solution

The fourth proportional to 10,278.20, 14,356.67 and 10,278.20 is: 14,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.20 : 14,356.67 = 10,278.20 : x
  2. Step 2: Convert to fraction form
    10,278.20/14,356.67 = 10,278.20/x
  3. Step 3: Cross multiply
    10,278.20x = 14,356.67 × 10,278.20
  4. Step 4: Simplify right side
    10,278.20x = 147,560,725.59
  5. Step 5: Solve for x
    x = 147,560,725.59/10,278.20
  6. Step 6: Final answer
    x = 14,356.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.