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Finding the Fourth Proportional to 7,306.56, 10,959.84 and 5,838.84

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Solution

The fourth proportional to 7,306.56, 10,959.84 and 5,838.84 is: 8,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.56 : 10,959.84 = 5,838.84 : x
  2. Step 2: Convert to fraction form
    7,306.56/10,959.84 = 5,838.84/x
  3. Step 3: Cross multiply
    7,306.56x = 10,959.84 × 5,838.84
  4. Step 4: Simplify right side
    7,306.56x = 63,992,752.19
  5. Step 5: Solve for x
    x = 63,992,752.19/7,306.56
  6. Step 6: Final answer
    x = 8,758.26

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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.