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Finding the Fourth Proportional to 7,004.75, 9,663.86 and 4,486.46

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Solution

The fourth proportional to 7,004.75, 9,663.86 and 4,486.46 is: 6,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.75 : 9,663.86 = 4,486.46 : x
  2. Step 2: Convert to fraction form
    7,004.75/9,663.86 = 4,486.46/x
  3. Step 3: Cross multiply
    7,004.75x = 9,663.86 × 4,486.46
  4. Step 4: Simplify right side
    7,004.75x = 43,356,556.71
  5. Step 5: Solve for x
    x = 43,356,556.71/7,004.75
  6. Step 6: Final answer
    x = 6,189.59

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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.