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Finding the Fourth Proportional to 10,410.92, 15,653.84 and 9,599.12

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Solution

The fourth proportional to 10,410.92, 15,653.84 and 9,599.12 is: 14,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.92 : 15,653.84 = 9,599.12 : x
  2. Step 2: Convert to fraction form
    10,410.92/15,653.84 = 9,599.12/x
  3. Step 3: Cross multiply
    10,410.92x = 15,653.84 × 9,599.12
  4. Step 4: Simplify right side
    10,410.92x = 150,263,088.62
  5. Step 5: Solve for x
    x = 150,263,088.62/10,410.92
  6. Step 6: Final answer
    x = 14,433.22

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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.