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Finding the Fourth Proportional to 6,492.14, 9,749.15 and 6,441.11

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Solution

The fourth proportional to 6,492.14, 9,749.15 and 6,441.11 is: 9,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.14 : 9,749.15 = 6,441.11 : x
  2. Step 2: Convert to fraction form
    6,492.14/9,749.15 = 6,441.11/x
  3. Step 3: Cross multiply
    6,492.14x = 9,749.15 × 6,441.11
  4. Step 4: Simplify right side
    6,492.14x = 62,795,266.61
  5. Step 5: Solve for x
    x = 62,795,266.61/6,492.14
  6. Step 6: Final answer
    x = 9,672.51

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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.