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Finding the Fourth Proportional to 8,956.96, 13,369.70 and 8,297.22

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Solution

The fourth proportional to 8,956.96, 13,369.70 and 8,297.22 is: 12,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.96 : 13,369.70 = 8,297.22 : x
  2. Step 2: Convert to fraction form
    8,956.96/13,369.70 = 8,297.22/x
  3. Step 3: Cross multiply
    8,956.96x = 13,369.70 × 8,297.22
  4. Step 4: Simplify right side
    8,956.96x = 110,931,342.23
  5. Step 5: Solve for x
    x = 110,931,342.23/8,956.96
  6. Step 6: Final answer
    x = 12,384.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.