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Finding the Fourth Proportional to 10,774.08, 16,146 and 7,482.24

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Solution

The fourth proportional to 10,774.08, 16,146 and 7,482.24 is: 11,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.08 : 16,146 = 7,482.24 : x
  2. Step 2: Convert to fraction form
    10,774.08/16,146 = 7,482.24/x
  3. Step 3: Cross multiply
    10,774.08x = 16,146 × 7,482.24
  4. Step 4: Simplify right side
    10,774.08x = 120,808,247.04
  5. Step 5: Solve for x
    x = 120,808,247.04/10,774.08
  6. Step 6: Final answer
    x = 11,212.86

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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.