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Finding the Fourth Proportional to 30,685.68, 46,025.10 and 9,624.87

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Solution

The fourth proportional to 30,685.68, 46,025.10 and 9,624.87 is: 14,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.68 : 46,025.10 = 9,624.87 : x
  2. Step 2: Convert to fraction form
    30,685.68/46,025.10 = 9,624.87/x
  3. Step 3: Cross multiply
    30,685.68x = 46,025.10 × 9,624.87
  4. Step 4: Simplify right side
    30,685.68x = 442,985,604.24
  5. Step 5: Solve for x
    x = 442,985,604.24/30,685.68
  6. Step 6: Final answer
    x = 14,436.23

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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.