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Finding the Fourth Proportional to 7,252.52, 10,878.80 and 1,780.52

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Solution

The fourth proportional to 7,252.52, 10,878.80 and 1,780.52 is: 2,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.52 : 10,878.80 = 1,780.52 : x
  2. Step 2: Convert to fraction form
    7,252.52/10,878.80 = 1,780.52/x
  3. Step 3: Cross multiply
    7,252.52x = 10,878.80 × 1,780.52
  4. Step 4: Simplify right side
    7,252.52x = 19,369,920.98
  5. Step 5: Solve for x
    x = 19,369,920.98/7,252.52
  6. Step 6: Final answer
    x = 2,670.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.