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Finding the Fourth Proportional to 6,959.96, 10,434.56 and 4,733.00

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Solution

The fourth proportional to 6,959.96, 10,434.56 and 4,733.00 is: 7,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.96 : 10,434.56 = 4,733.00 : x
  2. Step 2: Convert to fraction form
    6,959.96/10,434.56 = 4,733.00/x
  3. Step 3: Cross multiply
    6,959.96x = 10,434.56 × 4,733.00
  4. Step 4: Simplify right side
    6,959.96x = 49,386,720.31
  5. Step 5: Solve for x
    x = 49,386,720.31/6,959.96
  6. Step 6: Final answer
    x = 7,095.84

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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.