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Finding the Fourth Proportional to 7,448.99, 10,282.82 and 4,932.32

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Solution

The fourth proportional to 7,448.99, 10,282.82 and 4,932.32 is: 6,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.99 : 10,282.82 = 4,932.32 : x
  2. Step 2: Convert to fraction form
    7,448.99/10,282.82 = 4,932.32/x
  3. Step 3: Cross multiply
    7,448.99x = 10,282.82 × 4,932.32
  4. Step 4: Simplify right side
    7,448.99x = 50,718,082.67
  5. Step 5: Solve for x
    x = 50,718,082.67/7,448.99
  6. Step 6: Final answer
    x = 6,808.72

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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.