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Finding the Fourth Proportional to 7,729.95, 10,664.28 and 5,044.31

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Solution

The fourth proportional to 7,729.95, 10,664.28 and 5,044.31 is: 6,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.95 : 10,664.28 = 5,044.31 : x
  2. Step 2: Convert to fraction form
    7,729.95/10,664.28 = 5,044.31/x
  3. Step 3: Cross multiply
    7,729.95x = 10,664.28 × 5,044.31
  4. Step 4: Simplify right side
    7,729.95x = 53,793,939.83
  5. Step 5: Solve for x
    x = 53,793,939.83/7,729.95
  6. Step 6: Final answer
    x = 6,959.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.