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Finding the Fourth Proportional to 7,799.34, 10,763.16 and 4,262.64

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Solution

The fourth proportional to 7,799.34, 10,763.16 and 4,262.64 is: 5,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.34 : 10,763.16 = 4,262.64 : x
  2. Step 2: Convert to fraction form
    7,799.34/10,763.16 = 4,262.64/x
  3. Step 3: Cross multiply
    7,799.34x = 10,763.16 × 4,262.64
  4. Step 4: Simplify right side
    7,799.34x = 45,879,476.34
  5. Step 5: Solve for x
    x = 45,879,476.34/7,799.34
  6. Step 6: Final answer
    x = 5,882.48

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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.