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Finding the Fourth Proportional to 10,274.56, 15,404.65 and 5,264.62

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Solution

The fourth proportional to 10,274.56, 15,404.65 and 5,264.62 is: 7,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.56 : 15,404.65 = 5,264.62 : x
  2. Step 2: Convert to fraction form
    10,274.56/15,404.65 = 5,264.62/x
  3. Step 3: Cross multiply
    10,274.56x = 15,404.65 × 5,264.62
  4. Step 4: Simplify right side
    10,274.56x = 81,099,576.81
  5. Step 5: Solve for x
    x = 81,099,576.81/10,274.56
  6. Step 6: Final answer
    x = 7,893.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.