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Finding the Fourth Proportional to 10,704.10, 16,056.15 and 7,204.90

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Solution

The fourth proportional to 10,704.10, 16,056.15 and 7,204.90 is: 10,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.10 : 16,056.15 = 7,204.90 : x
  2. Step 2: Convert to fraction form
    10,704.10/16,056.15 = 7,204.90/x
  3. Step 3: Cross multiply
    10,704.10x = 16,056.15 × 7,204.90
  4. Step 4: Simplify right side
    10,704.10x = 115,682,955.14
  5. Step 5: Solve for x
    x = 115,682,955.14/10,704.10
  6. Step 6: Final answer
    x = 10,807.35

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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.