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Finding the Fourth Proportional to 7,601.88, 10,489.90 and 4,457.48

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Solution

The fourth proportional to 7,601.88, 10,489.90 and 4,457.48 is: 6,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.88 : 10,489.90 = 4,457.48 : x
  2. Step 2: Convert to fraction form
    7,601.88/10,489.90 = 4,457.48/x
  3. Step 3: Cross multiply
    7,601.88x = 10,489.90 × 4,457.48
  4. Step 4: Simplify right side
    7,601.88x = 46,758,519.45
  5. Step 5: Solve for x
    x = 46,758,519.45/7,601.88
  6. Step 6: Final answer
    x = 6,150.92

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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.