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Finding the Fourth Proportional to 7,533, 10,395.54 and 4,589

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Solution

The fourth proportional to 7,533, 10,395.54 and 4,589 is: 6,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 10,395.54 = 4,589 : x
  2. Step 2: Convert to fraction form
    7,533/10,395.54 = 4,589/x
  3. Step 3: Cross multiply
    7,533x = 10,395.54 × 4,589
  4. Step 4: Simplify right side
    7,533x = 47,705,133.06
  5. Step 5: Solve for x
    x = 47,705,133.06/7,533
  6. Step 6: Final answer
    x = 6,332.82

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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.