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Finding the Fourth Proportional to 6,563.81, 9,827.45 and 5,617.93

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Solution

The fourth proportional to 6,563.81, 9,827.45 and 5,617.93 is: 8,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.81 : 9,827.45 = 5,617.93 : x
  2. Step 2: Convert to fraction form
    6,563.81/9,827.45 = 5,617.93/x
  3. Step 3: Cross multiply
    6,563.81x = 9,827.45 × 5,617.93
  4. Step 4: Simplify right side
    6,563.81x = 55,209,956.45
  5. Step 5: Solve for x
    x = 55,209,956.45/6,563.81
  6. Step 6: Final answer
    x = 8,411.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.