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Finding the Fourth Proportional to 4,689.60, 6,474.24 and 3,510.24

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Solution

The fourth proportional to 4,689.60, 6,474.24 and 3,510.24 is: 4,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.60 : 6,474.24 = 3,510.24 : x
  2. Step 2: Convert to fraction form
    4,689.60/6,474.24 = 3,510.24/x
  3. Step 3: Cross multiply
    4,689.60x = 6,474.24 × 3,510.24
  4. Step 4: Simplify right side
    4,689.60x = 22,726,136.22
  5. Step 5: Solve for x
    x = 22,726,136.22/4,689.60
  6. Step 6: Final answer
    x = 4,846.07

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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.