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Finding the Fourth Proportional to 4,337.64, 6,502.50 and 1,563.69

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Solution

The fourth proportional to 4,337.64, 6,502.50 and 1,563.69 is: 2,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.64 : 6,502.50 = 1,563.69 : x
  2. Step 2: Convert to fraction form
    4,337.64/6,502.50 = 1,563.69/x
  3. Step 3: Cross multiply
    4,337.64x = 6,502.50 × 1,563.69
  4. Step 4: Simplify right side
    4,337.64x = 10,167,894.23
  5. Step 5: Solve for x
    x = 10,167,894.23/4,337.64
  6. Step 6: Final answer
    x = 2,344.11

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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.