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Finding the Fourth Proportional to 4,896.86, 6,746.26 and 4,007.48

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Solution

The fourth proportional to 4,896.86, 6,746.26 and 4,007.48 is: 5,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.86 : 6,746.26 = 4,007.48 : x
  2. Step 2: Convert to fraction form
    4,896.86/6,746.26 = 4,007.48/x
  3. Step 3: Cross multiply
    4,896.86x = 6,746.26 × 4,007.48
  4. Step 4: Simplify right side
    4,896.86x = 27,035,502.02
  5. Step 5: Solve for x
    x = 27,035,502.02/4,896.86
  6. Step 6: Final answer
    x = 5,520.99

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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.