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Finding the Fourth Proportional to 6,458.80, 9,702.60 and 4,514.80

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Solution

The fourth proportional to 6,458.80, 9,702.60 and 4,514.80 is: 6,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.80 : 9,702.60 = 4,514.80 : x
  2. Step 2: Convert to fraction form
    6,458.80/9,702.60 = 4,514.80/x
  3. Step 3: Cross multiply
    6,458.80x = 9,702.60 × 4,514.80
  4. Step 4: Simplify right side
    6,458.80x = 43,805,298.48
  5. Step 5: Solve for x
    x = 43,805,298.48/6,458.80
  6. Step 6: Final answer
    x = 6,782.27

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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.