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Finding the Fourth Proportional to 10,406.48, 15,599.84 and 3,476

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Solution

The fourth proportional to 10,406.48, 15,599.84 and 3,476 is: 5,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.48 : 15,599.84 = 3,476 : x
  2. Step 2: Convert to fraction form
    10,406.48/15,599.84 = 3,476/x
  3. Step 3: Cross multiply
    10,406.48x = 15,599.84 × 3,476
  4. Step 4: Simplify right side
    10,406.48x = 54,225,043.84
  5. Step 5: Solve for x
    x = 54,225,043.84/10,406.48
  6. Step 6: Final answer
    x = 5,210.70

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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.