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Finding the Fourth Proportional to 6,296.77, 9,482.63 and 5,484.84

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Solution

The fourth proportional to 6,296.77, 9,482.63 and 5,484.84 is: 8,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.77 : 9,482.63 = 5,484.84 : x
  2. Step 2: Convert to fraction form
    6,296.77/9,482.63 = 5,484.84/x
  3. Step 3: Cross multiply
    6,296.77x = 9,482.63 × 5,484.84
  4. Step 4: Simplify right side
    6,296.77x = 52,010,708.33
  5. Step 5: Solve for x
    x = 52,010,708.33/6,296.77
  6. Step 6: Final answer
    x = 8,259.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.