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Finding the Fourth Proportional to 6,492.04, 8,940.14 and 5,640.90

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Solution

The fourth proportional to 6,492.04, 8,940.14 and 5,640.90 is: 7,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.04 : 8,940.14 = 5,640.90 : x
  2. Step 2: Convert to fraction form
    6,492.04/8,940.14 = 5,640.90/x
  3. Step 3: Cross multiply
    6,492.04x = 8,940.14 × 5,640.90
  4. Step 4: Simplify right side
    6,492.04x = 50,430,435.73
  5. Step 5: Solve for x
    x = 50,430,435.73/6,492.04
  6. Step 6: Final answer
    x = 7,768.04

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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.