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Finding the Fourth Proportional to 7,562.88, 10,436.17 and 4,205.43

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Solution

The fourth proportional to 7,562.88, 10,436.17 and 4,205.43 is: 5,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.88 : 10,436.17 = 4,205.43 : x
  2. Step 2: Convert to fraction form
    7,562.88/10,436.17 = 4,205.43/x
  3. Step 3: Cross multiply
    7,562.88x = 10,436.17 × 4,205.43
  4. Step 4: Simplify right side
    7,562.88x = 43,888,582.40
  5. Step 5: Solve for x
    x = 43,888,582.40/7,562.88
  6. Step 6: Final answer
    x = 5,803.16

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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.