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Finding the Fourth Proportional to 6,753.66, 10,130.70 and 3,465.84

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Solution

The fourth proportional to 6,753.66, 10,130.70 and 3,465.84 is: 5,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.66 : 10,130.70 = 3,465.84 : x
  2. Step 2: Convert to fraction form
    6,753.66/10,130.70 = 3,465.84/x
  3. Step 3: Cross multiply
    6,753.66x = 10,130.70 × 3,465.84
  4. Step 4: Simplify right side
    6,753.66x = 35,111,385.29
  5. Step 5: Solve for x
    x = 35,111,385.29/6,753.66
  6. Step 6: Final answer
    x = 5,198.87

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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.