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Finding the Fourth Proportional to 10,266.45, 14,382.75 and 10,266.45

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Solution

The fourth proportional to 10,266.45, 14,382.75 and 10,266.45 is: 14,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.45 : 14,382.75 = 10,266.45 : x
  2. Step 2: Convert to fraction form
    10,266.45/14,382.75 = 10,266.45/x
  3. Step 3: Cross multiply
    10,266.45x = 14,382.75 × 10,266.45
  4. Step 4: Simplify right side
    10,266.45x = 147,659,783.74
  5. Step 5: Solve for x
    x = 147,659,783.74/10,266.45
  6. Step 6: Final answer
    x = 14,382.75

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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.