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Finding the Fourth Proportional to 4,609.52, 6,914.68 and 1,488.32

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Solution

The fourth proportional to 4,609.52, 6,914.68 and 1,488.32 is: 2,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.52 : 6,914.68 = 1,488.32 : x
  2. Step 2: Convert to fraction form
    4,609.52/6,914.68 = 1,488.32/x
  3. Step 3: Cross multiply
    4,609.52x = 6,914.68 × 1,488.32
  4. Step 4: Simplify right side
    4,609.52x = 10,291,256.54
  5. Step 5: Solve for x
    x = 10,291,256.54/4,609.52
  6. Step 6: Final answer
    x = 2,232.61

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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.