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Finding the Fourth Proportional to 9,487.83, 13,064.22 and 8,597.84

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Solution

The fourth proportional to 9,487.83, 13,064.22 and 8,597.84 is: 11,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.83 : 13,064.22 = 8,597.84 : x
  2. Step 2: Convert to fraction form
    9,487.83/13,064.22 = 8,597.84/x
  3. Step 3: Cross multiply
    9,487.83x = 13,064.22 × 8,597.84
  4. Step 4: Simplify right side
    9,487.83x = 112,324,051.79
  5. Step 5: Solve for x
    x = 112,324,051.79/9,487.83
  6. Step 6: Final answer
    x = 11,838.75

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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.