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Finding the Fourth Proportional to 6,207.66, 9,314.83 and 4,823.77

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Solution

The fourth proportional to 6,207.66, 9,314.83 and 4,823.77 is: 7,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.66 : 9,314.83 = 4,823.77 : x
  2. Step 2: Convert to fraction form
    6,207.66/9,314.83 = 4,823.77/x
  3. Step 3: Cross multiply
    6,207.66x = 9,314.83 × 4,823.77
  4. Step 4: Simplify right side
    6,207.66x = 44,932,597.51
  5. Step 5: Solve for x
    x = 44,932,597.51/6,207.66
  6. Step 6: Final answer
    x = 7,238.25

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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.