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Finding the Fourth Proportional to 10,228.12, 15,338.94 and 3,301

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Solution

The fourth proportional to 10,228.12, 15,338.94 and 3,301 is: 4,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.12 : 15,338.94 = 3,301 : x
  2. Step 2: Convert to fraction form
    10,228.12/15,338.94 = 3,301/x
  3. Step 3: Cross multiply
    10,228.12x = 15,338.94 × 3,301
  4. Step 4: Simplify right side
    10,228.12x = 50,633,840.94
  5. Step 5: Solve for x
    x = 50,633,840.94/10,228.12
  6. Step 6: Final answer
    x = 4,950.45

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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.