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Finding the Fourth Proportional to 4,773.84, 7,161.51 and 4,443.66

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Solution

The fourth proportional to 4,773.84, 7,161.51 and 4,443.66 is: 6,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.84 : 7,161.51 = 4,443.66 : x
  2. Step 2: Convert to fraction form
    4,773.84/7,161.51 = 4,443.66/x
  3. Step 3: Cross multiply
    4,773.84x = 7,161.51 × 4,443.66
  4. Step 4: Simplify right side
    4,773.84x = 31,823,332.19
  5. Step 5: Solve for x
    x = 31,823,332.19/4,773.84
  6. Step 6: Final answer
    x = 6,666.20

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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.