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Finding the Fourth Proportional to 9,729.51, 14,566.71 and 7,563.57

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Solution

The fourth proportional to 9,729.51, 14,566.71 and 7,563.57 is: 11,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.51 : 14,566.71 = 7,563.57 : x
  2. Step 2: Convert to fraction form
    9,729.51/14,566.71 = 7,563.57/x
  3. Step 3: Cross multiply
    9,729.51x = 14,566.71 × 7,563.57
  4. Step 4: Simplify right side
    9,729.51x = 110,176,330.75
  5. Step 5: Solve for x
    x = 110,176,330.75/9,729.51
  6. Step 6: Final answer
    x = 11,323.93

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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.