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Finding the Fourth Proportional to 9,657.90, 13,326.12 and 8,162.64

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Solution

The fourth proportional to 9,657.90, 13,326.12 and 8,162.64 is: 11,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.90 : 13,326.12 = 8,162.64 : x
  2. Step 2: Convert to fraction form
    9,657.90/13,326.12 = 8,162.64/x
  3. Step 3: Cross multiply
    9,657.90x = 13,326.12 × 8,162.64
  4. Step 4: Simplify right side
    9,657.90x = 108,776,320.16
  5. Step 5: Solve for x
    x = 108,776,320.16/9,657.90
  6. Step 6: Final answer
    x = 11,262.94

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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.