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Finding the Fourth Proportional to 9,682.83, 14,523.53 and 5,509.74

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Solution

The fourth proportional to 9,682.83, 14,523.53 and 5,509.74 is: 8,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.83 : 14,523.53 = 5,509.74 : x
  2. Step 2: Convert to fraction form
    9,682.83/14,523.53 = 5,509.74/x
  3. Step 3: Cross multiply
    9,682.83x = 14,523.53 × 5,509.74
  4. Step 4: Simplify right side
    9,682.83x = 80,020,846.63
  5. Step 5: Solve for x
    x = 80,020,846.63/9,682.83
  6. Step 6: Final answer
    x = 8,264.20

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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.