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Finding the Fourth Proportional to 4,666.86, 6,965.94 and 4,277.22

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Solution

The fourth proportional to 4,666.86, 6,965.94 and 4,277.22 is: 6,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.86 : 6,965.94 = 4,277.22 : x
  2. Step 2: Convert to fraction form
    4,666.86/6,965.94 = 4,277.22/x
  3. Step 3: Cross multiply
    4,666.86x = 6,965.94 × 4,277.22
  4. Step 4: Simplify right side
    4,666.86x = 29,794,857.89
  5. Step 5: Solve for x
    x = 29,794,857.89/4,666.86
  6. Step 6: Final answer
    x = 6,384.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.