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Finding the Fourth Proportional to 6,345.24, 9,506.92 and 4,493.24

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Solution

The fourth proportional to 6,345.24, 9,506.92 and 4,493.24 is: 6,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.24 : 9,506.92 = 4,493.24 : x
  2. Step 2: Convert to fraction form
    6,345.24/9,506.92 = 4,493.24/x
  3. Step 3: Cross multiply
    6,345.24x = 9,506.92 × 4,493.24
  4. Step 4: Simplify right side
    6,345.24x = 42,716,873.22
  5. Step 5: Solve for x
    x = 42,716,873.22/6,345.24
  6. Step 6: Final answer
    x = 6,732.11

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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.