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Finding the Fourth Proportional to 9,672.60, 14,510.92 and 3,099.26

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Solution

The fourth proportional to 9,672.60, 14,510.92 and 3,099.26 is: 4,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.60 : 14,510.92 = 3,099.26 : x
  2. Step 2: Convert to fraction form
    9,672.60/14,510.92 = 3,099.26/x
  3. Step 3: Cross multiply
    9,672.60x = 14,510.92 × 3,099.26
  4. Step 4: Simplify right side
    9,672.60x = 44,973,113.92
  5. Step 5: Solve for x
    x = 44,973,113.92/9,672.60
  6. Step 6: Final answer
    x = 4,649.54

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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.