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Finding the Fourth Proportional to 7,282, 10,050.54 and 4,632.49

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Solution

The fourth proportional to 7,282, 10,050.54 and 4,632.49 is: 6,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 10,050.54 = 4,632.49 : x
  2. Step 2: Convert to fraction form
    7,282/10,050.54 = 4,632.49/x
  3. Step 3: Cross multiply
    7,282x = 10,050.54 × 4,632.49
  4. Step 4: Simplify right side
    7,282x = 46,559,026.04
  5. Step 5: Solve for x
    x = 46,559,026.04/7,282
  6. Step 6: Final answer
    x = 6,393.71

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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.