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Finding the Fourth Proportional to 5,946.78, 8,959.73 and 5,384.28

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Solution

The fourth proportional to 5,946.78, 8,959.73 and 5,384.28 is: 8,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.78 : 8,959.73 = 5,384.28 : x
  2. Step 2: Convert to fraction form
    5,946.78/8,959.73 = 5,384.28/x
  3. Step 3: Cross multiply
    5,946.78x = 8,959.73 × 5,384.28
  4. Step 4: Simplify right side
    5,946.78x = 48,241,708.51
  5. Step 5: Solve for x
    x = 48,241,708.51/5,946.78
  6. Step 6: Final answer
    x = 8,112.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.