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Finding the Fourth Proportional to 7,265, 10,024.90 and 4,077.57

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Solution

The fourth proportional to 7,265, 10,024.90 and 4,077.57 is: 5,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265 : 10,024.90 = 4,077.57 : x
  2. Step 2: Convert to fraction form
    7,265/10,024.90 = 4,077.57/x
  3. Step 3: Cross multiply
    7,265x = 10,024.90 × 4,077.57
  4. Step 4: Simplify right side
    7,265x = 40,877,181.37
  5. Step 5: Solve for x
    x = 40,877,181.37/7,265
  6. Step 6: Final answer
    x = 5,626.59

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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.