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Finding the Fourth Proportional to 6,493.32, 9,716.76 and 6,119.10

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Solution

The fourth proportional to 6,493.32, 9,716.76 and 6,119.10 is: 9,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.32 : 9,716.76 = 6,119.10 : x
  2. Step 2: Convert to fraction form
    6,493.32/9,716.76 = 6,119.10/x
  3. Step 3: Cross multiply
    6,493.32x = 9,716.76 × 6,119.10
  4. Step 4: Simplify right side
    6,493.32x = 59,457,826.12
  5. Step 5: Solve for x
    x = 59,457,826.12/6,493.32
  6. Step 6: Final answer
    x = 9,156.77

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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.