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Finding the Fourth Proportional to 7,959.33, 10,983.86 and 4,774.46

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Solution

The fourth proportional to 7,959.33, 10,983.86 and 4,774.46 is: 6,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.33 : 10,983.86 = 4,774.46 : x
  2. Step 2: Convert to fraction form
    7,959.33/10,983.86 = 4,774.46/x
  3. Step 3: Cross multiply
    7,959.33x = 10,983.86 × 4,774.46
  4. Step 4: Simplify right side
    7,959.33x = 52,441,921.42
  5. Step 5: Solve for x
    x = 52,441,921.42/7,959.33
  6. Step 6: Final answer
    x = 6,588.74

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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.