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Finding the Fourth Proportional to 10,534.56, 14,537.88 and 5,818.56

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Solution

The fourth proportional to 10,534.56, 14,537.88 and 5,818.56 is: 8,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.56 : 14,537.88 = 5,818.56 : x
  2. Step 2: Convert to fraction form
    10,534.56/14,537.88 = 5,818.56/x
  3. Step 3: Cross multiply
    10,534.56x = 14,537.88 × 5,818.56
  4. Step 4: Simplify right side
    10,534.56x = 84,589,527.05
  5. Step 5: Solve for x
    x = 84,589,527.05/10,534.56
  6. Step 6: Final answer
    x = 8,029.72

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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.