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Finding the Fourth Proportional to 10,674.95, 16,012.40 and 5,934.12

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Solution

The fourth proportional to 10,674.95, 16,012.40 and 5,934.12 is: 8,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.95 : 16,012.40 = 5,934.12 : x
  2. Step 2: Convert to fraction form
    10,674.95/16,012.40 = 5,934.12/x
  3. Step 3: Cross multiply
    10,674.95x = 16,012.40 × 5,934.12
  4. Step 4: Simplify right side
    10,674.95x = 95,019,473.42
  5. Step 5: Solve for x
    x = 95,019,473.42/10,674.95
  6. Step 6: Final answer
    x = 8,901.17

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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.