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Finding the Fourth Proportional to 9,732.89, 14,571.78 and 7,566.95

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Solution

The fourth proportional to 9,732.89, 14,571.78 and 7,566.95 is: 11,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.89 : 14,571.78 = 7,566.95 : x
  2. Step 2: Convert to fraction form
    9,732.89/14,571.78 = 7,566.95/x
  3. Step 3: Cross multiply
    9,732.89x = 14,571.78 × 7,566.95
  4. Step 4: Simplify right side
    9,732.89x = 110,263,857.81
  5. Step 5: Solve for x
    x = 110,263,857.81/9,732.89
  6. Step 6: Final answer
    x = 11,329.00

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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.