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Finding the Fourth Proportional to 5,946.54, 8,919 and 3,477.66

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Solution

The fourth proportional to 5,946.54, 8,919 and 3,477.66 is: 5,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.54 : 8,919 = 3,477.66 : x
  2. Step 2: Convert to fraction form
    5,946.54/8,919 = 3,477.66/x
  3. Step 3: Cross multiply
    5,946.54x = 8,919 × 3,477.66
  4. Step 4: Simplify right side
    5,946.54x = 31,017,249.54
  5. Step 5: Solve for x
    x = 31,017,249.54/5,946.54
  6. Step 6: Final answer
    x = 5,216.02

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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.