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Finding the Fourth Proportional to 4,632.92, 6,403.43 and 4,098.02

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Solution

The fourth proportional to 4,632.92, 6,403.43 and 4,098.02 is: 5,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.92 : 6,403.43 = 4,098.02 : x
  2. Step 2: Convert to fraction form
    4,632.92/6,403.43 = 4,098.02/x
  3. Step 3: Cross multiply
    4,632.92x = 6,403.43 × 4,098.02
  4. Step 4: Simplify right side
    4,632.92x = 26,241,410.46
  5. Step 5: Solve for x
    x = 26,241,410.46/4,632.92
  6. Step 6: Final answer
    x = 5,664.12

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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.