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Finding the Fourth Proportional to 9,650.53, 13,315.10 and 5,873.85

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Solution

The fourth proportional to 9,650.53, 13,315.10 and 5,873.85 is: 8,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.53 : 13,315.10 = 5,873.85 : x
  2. Step 2: Convert to fraction form
    9,650.53/13,315.10 = 5,873.85/x
  3. Step 3: Cross multiply
    9,650.53x = 13,315.10 × 5,873.85
  4. Step 4: Simplify right side
    9,650.53x = 78,210,804.19
  5. Step 5: Solve for x
    x = 78,210,804.19/9,650.53
  6. Step 6: Final answer
    x = 8,104.31

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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.