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Finding the Fourth Proportional to 10,760.08, 16,143 and 6,146.32

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Solution

The fourth proportional to 10,760.08, 16,143 and 6,146.32 is: 9,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.08 : 16,143 = 6,146.32 : x
  2. Step 2: Convert to fraction form
    10,760.08/16,143 = 6,146.32/x
  3. Step 3: Cross multiply
    10,760.08x = 16,143 × 6,146.32
  4. Step 4: Simplify right side
    10,760.08x = 99,220,043.76
  5. Step 5: Solve for x
    x = 99,220,043.76/10,760.08
  6. Step 6: Final answer
    x = 9,221.13

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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.