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Finding the Fourth Proportional to 7,798.57, 10,758.97 and 4,809.22

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Solution

The fourth proportional to 7,798.57, 10,758.97 and 4,809.22 is: 6,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.57 : 10,758.97 = 4,809.22 : x
  2. Step 2: Convert to fraction form
    7,798.57/10,758.97 = 4,809.22/x
  3. Step 3: Cross multiply
    7,798.57x = 10,758.97 × 4,809.22
  4. Step 4: Simplify right side
    7,798.57x = 51,742,273.16
  5. Step 5: Solve for x
    x = 51,742,273.16/7,798.57
  6. Step 6: Final answer
    x = 6,634.84

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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.