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Finding the Fourth Proportional to 9,777.71, 13,470.45 and 7,998.95

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Solution

The fourth proportional to 9,777.71, 13,470.45 and 7,998.95 is: 11,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.71 : 13,470.45 = 7,998.95 : x
  2. Step 2: Convert to fraction form
    9,777.71/13,470.45 = 7,998.95/x
  3. Step 3: Cross multiply
    9,777.71x = 13,470.45 × 7,998.95
  4. Step 4: Simplify right side
    9,777.71x = 107,749,456.03
  5. Step 5: Solve for x
    x = 107,749,456.03/9,777.71
  6. Step 6: Final answer
    x = 11,019.91

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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.