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Finding the Fourth Proportional to 6,516.60, 9,774.96 and 4,959.84

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Solution

The fourth proportional to 6,516.60, 9,774.96 and 4,959.84 is: 7,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.60 : 9,774.96 = 4,959.84 : x
  2. Step 2: Convert to fraction form
    6,516.60/9,774.96 = 4,959.84/x
  3. Step 3: Cross multiply
    6,516.60x = 9,774.96 × 4,959.84
  4. Step 4: Simplify right side
    6,516.60x = 48,482,237.61
  5. Step 5: Solve for x
    x = 48,482,237.61/6,516.60
  6. Step 6: Final answer
    x = 7,439.81

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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.