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Finding the Fourth Proportional to 7,577.88, 10,458 and 4,593.84

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Solution

The fourth proportional to 7,577.88, 10,458 and 4,593.84 is: 6,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.88 : 10,458 = 4,593.84 : x
  2. Step 2: Convert to fraction form
    7,577.88/10,458 = 4,593.84/x
  3. Step 3: Cross multiply
    7,577.88x = 10,458 × 4,593.84
  4. Step 4: Simplify right side
    7,577.88x = 48,042,378.72
  5. Step 5: Solve for x
    x = 48,042,378.72/7,577.88
  6. Step 6: Final answer
    x = 6,339.82

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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.