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Finding the Fourth Proportional to 7,057.64, 9,736.74 and 4,539.32

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Solution

The fourth proportional to 7,057.64, 9,736.74 and 4,539.32 is: 6,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.64 : 9,736.74 = 4,539.32 : x
  2. Step 2: Convert to fraction form
    7,057.64/9,736.74 = 4,539.32/x
  3. Step 3: Cross multiply
    7,057.64x = 9,736.74 × 4,539.32
  4. Step 4: Simplify right side
    7,057.64x = 44,198,178.62
  5. Step 5: Solve for x
    x = 44,198,178.62/7,057.64
  6. Step 6: Final answer
    x = 6,262.46

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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.