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Finding the Fourth Proportional to 6,799.68, 10,208.16 and 5,780.16

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Solution

The fourth proportional to 6,799.68, 10,208.16 and 5,780.16 is: 8,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.68 : 10,208.16 = 5,780.16 : x
  2. Step 2: Convert to fraction form
    6,799.68/10,208.16 = 5,780.16/x
  3. Step 3: Cross multiply
    6,799.68x = 10,208.16 × 5,780.16
  4. Step 4: Simplify right side
    6,799.68x = 59,004,798.11
  5. Step 5: Solve for x
    x = 59,004,798.11/6,799.68
  6. Step 6: Final answer
    x = 8,677.58

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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.