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Finding the Fourth Proportional to 7,473, 10,313.06 and 4,161

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Solution

The fourth proportional to 7,473, 10,313.06 and 4,161 is: 5,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473 : 10,313.06 = 4,161 : x
  2. Step 2: Convert to fraction form
    7,473/10,313.06 = 4,161/x
  3. Step 3: Cross multiply
    7,473x = 10,313.06 × 4,161
  4. Step 4: Simplify right side
    7,473x = 42,912,642.66
  5. Step 5: Solve for x
    x = 42,912,642.66/7,473
  6. Step 6: Final answer
    x = 5,742.36

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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.