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Finding the Fourth Proportional to 7,009.14, 9,672 and 4,486.80

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Solution

The fourth proportional to 7,009.14, 9,672 and 4,486.80 is: 6,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.14 : 9,672 = 4,486.80 : x
  2. Step 2: Convert to fraction form
    7,009.14/9,672 = 4,486.80/x
  3. Step 3: Cross multiply
    7,009.14x = 9,672 × 4,486.80
  4. Step 4: Simplify right side
    7,009.14x = 43,396,329.60
  5. Step 5: Solve for x
    x = 43,396,329.60/7,009.14
  6. Step 6: Final answer
    x = 6,191.39

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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.