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Finding the Fourth Proportional to 4,659.84, 6,430.41 and 2,563.92

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Solution

The fourth proportional to 4,659.84, 6,430.41 and 2,563.92 is: 3,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,430.41 = 2,563.92 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,430.41 = 2,563.92/x
  3. Step 3: Cross multiply
    4,659.84x = 6,430.41 × 2,563.92
  4. Step 4: Simplify right side
    4,659.84x = 16,487,056.81
  5. Step 5: Solve for x
    x = 16,487,056.81/4,659.84
  6. Step 6: Final answer
    x = 3,538.12

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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.