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Finding the Fourth Proportional to 7,545.88, 10,413 and 4,188.84

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Solution

The fourth proportional to 7,545.88, 10,413 and 4,188.84 is: 5,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.88 : 10,413 = 4,188.84 : x
  2. Step 2: Convert to fraction form
    7,545.88/10,413 = 4,188.84/x
  3. Step 3: Cross multiply
    7,545.88x = 10,413 × 4,188.84
  4. Step 4: Simplify right side
    7,545.88x = 43,618,390.92
  5. Step 5: Solve for x
    x = 43,618,390.92/7,545.88
  6. Step 6: Final answer
    x = 5,780.42

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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.