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Finding the Fourth Proportional to 8,840.96, 13,314.08 and 7,700.48

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Solution

The fourth proportional to 8,840.96, 13,314.08 and 7,700.48 is: 11,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.96 : 13,314.08 = 7,700.48 : x
  2. Step 2: Convert to fraction form
    8,840.96/13,314.08 = 7,700.48/x
  3. Step 3: Cross multiply
    8,840.96x = 13,314.08 × 7,700.48
  4. Step 4: Simplify right side
    8,840.96x = 102,524,806.76
  5. Step 5: Solve for x
    x = 102,524,806.76/8,840.96
  6. Step 6: Final answer
    x = 11,596.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.