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Finding the Fourth Proportional to 7,632.09, 10,526.82 and 7,004.64

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Solution

The fourth proportional to 7,632.09, 10,526.82 and 7,004.64 is: 9,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.09 : 10,526.82 = 7,004.64 : x
  2. Step 2: Convert to fraction form
    7,632.09/10,526.82 = 7,004.64/x
  3. Step 3: Cross multiply
    7,632.09x = 10,526.82 × 7,004.64
  4. Step 4: Simplify right side
    7,632.09x = 73,736,584.44
  5. Step 5: Solve for x
    x = 73,736,584.44/7,632.09
  6. Step 6: Final answer
    x = 9,661.39

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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.