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Finding the Fourth Proportional to 6,511.52, 8,959.20 and 5,624.48

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Solution

The fourth proportional to 6,511.52, 8,959.20 and 5,624.48 is: 7,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.52 : 8,959.20 = 5,624.48 : x
  2. Step 2: Convert to fraction form
    6,511.52/8,959.20 = 5,624.48/x
  3. Step 3: Cross multiply
    6,511.52x = 8,959.20 × 5,624.48
  4. Step 4: Simplify right side
    6,511.52x = 50,390,841.22
  5. Step 5: Solve for x
    x = 50,390,841.22/6,511.52
  6. Step 6: Final answer
    x = 7,738.72

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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.