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Finding the Fourth Proportional to 13,652.59, 20,473.09 and 5,758.63

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Solution

The fourth proportional to 13,652.59, 20,473.09 and 5,758.63 is: 8,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.59 : 20,473.09 = 5,758.63 : x
  2. Step 2: Convert to fraction form
    13,652.59/20,473.09 = 5,758.63/x
  3. Step 3: Cross multiply
    13,652.59x = 20,473.09 × 5,758.63
  4. Step 4: Simplify right side
    13,652.59x = 117,896,950.27
  5. Step 5: Solve for x
    x = 117,896,950.27/13,652.59
  6. Step 6: Final answer
    x = 8,635.50

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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.