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Finding the Fourth Proportional to 6,097.52, 8,414.80 and 3,445.32

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Solution

The fourth proportional to 6,097.52, 8,414.80 and 3,445.32 is: 4,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.52 : 8,414.80 = 3,445.32 : x
  2. Step 2: Convert to fraction form
    6,097.52/8,414.80 = 3,445.32/x
  3. Step 3: Cross multiply
    6,097.52x = 8,414.80 × 3,445.32
  4. Step 4: Simplify right side
    6,097.52x = 28,991,678.74
  5. Step 5: Solve for x
    x = 28,991,678.74/6,097.52
  6. Step 6: Final answer
    x = 4,754.67

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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.