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Finding the Fourth Proportional to 7,798.88, 10,762.70 and 4,262.33

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Solution

The fourth proportional to 7,798.88, 10,762.70 and 4,262.33 is: 5,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.88 : 10,762.70 = 4,262.33 : x
  2. Step 2: Convert to fraction form
    7,798.88/10,762.70 = 4,262.33/x
  3. Step 3: Cross multiply
    7,798.88x = 10,762.70 × 4,262.33
  4. Step 4: Simplify right side
    7,798.88x = 45,874,103.97
  5. Step 5: Solve for x
    x = 45,874,103.97/7,798.88
  6. Step 6: Final answer
    x = 5,882.14

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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.