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Finding the Fourth Proportional to 9,295.63, 12,832.97 and 7,166.50

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Solution

The fourth proportional to 9,295.63, 12,832.97 and 7,166.50 is: 9,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.63 : 12,832.97 = 7,166.50 : x
  2. Step 2: Convert to fraction form
    9,295.63/12,832.97 = 7,166.50/x
  3. Step 3: Cross multiply
    9,295.63x = 12,832.97 × 7,166.50
  4. Step 4: Simplify right side
    9,295.63x = 91,967,479.51
  5. Step 5: Solve for x
    x = 91,967,479.51/9,295.63
  6. Step 6: Final answer
    x = 9,893.63

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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.