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Finding the Fourth Proportional to 8,404.50, 11,598.26 and 4,678.50

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Solution

The fourth proportional to 8,404.50, 11,598.26 and 4,678.50 is: 6,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.50 : 11,598.26 = 4,678.50 : x
  2. Step 2: Convert to fraction form
    8,404.50/11,598.26 = 4,678.50/x
  3. Step 3: Cross multiply
    8,404.50x = 11,598.26 × 4,678.50
  4. Step 4: Simplify right side
    8,404.50x = 54,262,436.02
  5. Step 5: Solve for x
    x = 54,262,436.02/8,404.50
  6. Step 6: Final answer
    x = 6,456.36

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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.