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Finding the Fourth Proportional to 7,620.56, 10,513.26 and 4,967

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Solution

The fourth proportional to 7,620.56, 10,513.26 and 4,967 is: 6,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.56 : 10,513.26 = 4,967 : x
  2. Step 2: Convert to fraction form
    7,620.56/10,513.26 = 4,967/x
  3. Step 3: Cross multiply
    7,620.56x = 10,513.26 × 4,967
  4. Step 4: Simplify right side
    7,620.56x = 52,219,362.42
  5. Step 5: Solve for x
    x = 52,219,362.42/7,620.56
  6. Step 6: Final answer
    x = 6,852.43

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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.