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Finding the Fourth Proportional to 9,701.33, 14,552.00 and 7,744.37

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Solution

The fourth proportional to 9,701.33, 14,552.00 and 7,744.37 is: 11,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.33 : 14,552.00 = 7,744.37 : x
  2. Step 2: Convert to fraction form
    9,701.33/14,552.00 = 7,744.37/x
  3. Step 3: Cross multiply
    9,701.33x = 14,552.00 × 7,744.37
  4. Step 4: Simplify right side
    9,701.33x = 112,696,033.52
  5. Step 5: Solve for x
    x = 112,696,033.52/9,701.33
  6. Step 6: Final answer
    x = 11,616.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.