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Finding the Fourth Proportional to 7,554.48, 10,424.25 and 4,571.70

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Solution

The fourth proportional to 7,554.48, 10,424.25 and 4,571.70 is: 6,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.48 : 10,424.25 = 4,571.70 : x
  2. Step 2: Convert to fraction form
    7,554.48/10,424.25 = 4,571.70/x
  3. Step 3: Cross multiply
    7,554.48x = 10,424.25 × 4,571.70
  4. Step 4: Simplify right side
    7,554.48x = 47,656,543.73
  5. Step 5: Solve for x
    x = 47,656,543.73/7,554.48
  6. Step 6: Final answer
    x = 6,308.38

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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.