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Finding the Fourth Proportional to 7,749, 10,693.98 and 4,346.34

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Solution

The fourth proportional to 7,749, 10,693.98 and 4,346.34 is: 5,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 10,693.98 = 4,346.34 : x
  2. Step 2: Convert to fraction form
    7,749/10,693.98 = 4,346.34/x
  3. Step 3: Cross multiply
    7,749x = 10,693.98 × 4,346.34
  4. Step 4: Simplify right side
    7,749x = 46,479,673.03
  5. Step 5: Solve for x
    x = 46,479,673.03/7,749
  6. Step 6: Final answer
    x = 5,998.15

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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.