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Finding the Fourth Proportional to 7,682.78, 10,602.78 and 4,539.98

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Solution

The fourth proportional to 7,682.78, 10,602.78 and 4,539.98 is: 6,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.78 : 10,602.78 = 4,539.98 : x
  2. Step 2: Convert to fraction form
    7,682.78/10,602.78 = 4,539.98/x
  3. Step 3: Cross multiply
    7,682.78x = 10,602.78 × 4,539.98
  4. Step 4: Simplify right side
    7,682.78x = 48,136,409.14
  5. Step 5: Solve for x
    x = 48,136,409.14/7,682.78
  6. Step 6: Final answer
    x = 6,265.49

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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.