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Finding the Fourth Proportional to 8,303.49, 11,458.49 and 4,766.63

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Solution

The fourth proportional to 8,303.49, 11,458.49 and 4,766.63 is: 6,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.49 : 11,458.49 = 4,766.63 : x
  2. Step 2: Convert to fraction form
    8,303.49/11,458.49 = 4,766.63/x
  3. Step 3: Cross multiply
    8,303.49x = 11,458.49 × 4,766.63
  4. Step 4: Simplify right side
    8,303.49x = 54,618,301.06
  5. Step 5: Solve for x
    x = 54,618,301.06/8,303.49
  6. Step 6: Final answer
    x = 6,577.75

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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.