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Finding the Fourth Proportional to 7,580.44, 10,460.10 and 4,222.48

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Solution

The fourth proportional to 7,580.44, 10,460.10 and 4,222.48 is: 5,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.44 : 10,460.10 = 4,222.48 : x
  2. Step 2: Convert to fraction form
    7,580.44/10,460.10 = 4,222.48/x
  3. Step 3: Cross multiply
    7,580.44x = 10,460.10 × 4,222.48
  4. Step 4: Simplify right side
    7,580.44x = 44,167,563.05
  5. Step 5: Solve for x
    x = 44,167,563.05/7,580.44
  6. Step 6: Final answer
    x = 5,826.52

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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.