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Finding the Fourth Proportional to 7,287, 10,057.44 and 4,637.49

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Solution

The fourth proportional to 7,287, 10,057.44 and 4,637.49 is: 6,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287 : 10,057.44 = 4,637.49 : x
  2. Step 2: Convert to fraction form
    7,287/10,057.44 = 4,637.49/x
  3. Step 3: Cross multiply
    7,287x = 10,057.44 × 4,637.49
  4. Step 4: Simplify right side
    7,287x = 46,641,277.43
  5. Step 5: Solve for x
    x = 46,641,277.43/7,287
  6. Step 6: Final answer
    x = 6,400.61

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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.