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Finding the Fourth Proportional to 7,492.75, 10,340.00 and 4,180.75

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Solution

The fourth proportional to 7,492.75, 10,340.00 and 4,180.75 is: 5,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.75 : 10,340.00 = 4,180.75 : x
  2. Step 2: Convert to fraction form
    7,492.75/10,340.00 = 4,180.75/x
  3. Step 3: Cross multiply
    7,492.75x = 10,340.00 × 4,180.75
  4. Step 4: Simplify right side
    7,492.75x = 43,228,934.10
  5. Step 5: Solve for x
    x = 43,228,934.10/7,492.75
  6. Step 6: Final answer
    x = 5,769.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.