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Finding the Fourth Proportional to 8,597.68, 11,853.92 and 7,320.32

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Solution

The fourth proportional to 8,597.68, 11,853.92 and 7,320.32 is: 10,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.68 : 11,853.92 = 7,320.32 : x
  2. Step 2: Convert to fraction form
    8,597.68/11,853.92 = 7,320.32/x
  3. Step 3: Cross multiply
    8,597.68x = 11,853.92 × 7,320.32
  4. Step 4: Simplify right side
    8,597.68x = 86,774,487.65
  5. Step 5: Solve for x
    x = 86,774,487.65/8,597.68
  6. Step 6: Final answer
    x = 10,092.78

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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.