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Finding the Fourth Proportional to 7,362.30, 11,046.16 and 3,415.46

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Solution

The fourth proportional to 7,362.30, 11,046.16 and 3,415.46 is: 5,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.30 : 11,046.16 = 3,415.46 : x
  2. Step 2: Convert to fraction form
    7,362.30/11,046.16 = 3,415.46/x
  3. Step 3: Cross multiply
    7,362.30x = 11,046.16 × 3,415.46
  4. Step 4: Simplify right side
    7,362.30x = 37,727,717.63
  5. Step 5: Solve for x
    x = 37,727,717.63/7,362.30
  6. Step 6: Final answer
    x = 5,124.45

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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.