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Finding the Fourth Proportional to 7,805.73, 10,775.52 and 4,618.02

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Solution

The fourth proportional to 7,805.73, 10,775.52 and 4,618.02 is: 6,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.73 : 10,775.52 = 4,618.02 : x
  2. Step 2: Convert to fraction form
    7,805.73/10,775.52 = 4,618.02/x
  3. Step 3: Cross multiply
    7,805.73x = 10,775.52 × 4,618.02
  4. Step 4: Simplify right side
    7,805.73x = 49,761,566.87
  5. Step 5: Solve for x
    x = 49,761,566.87/7,805.73
  6. Step 6: Final answer
    x = 6,375.00

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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.