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Finding the Fourth Proportional to 8,971.34, 13,436.14 and 8,659.88

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Solution

The fourth proportional to 8,971.34, 13,436.14 and 8,659.88 is: 12,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.34 : 13,436.14 = 8,659.88 : x
  2. Step 2: Convert to fraction form
    8,971.34/13,436.14 = 8,659.88/x
  3. Step 3: Cross multiply
    8,971.34x = 13,436.14 × 8,659.88
  4. Step 4: Simplify right side
    8,971.34x = 116,355,360.06
  5. Step 5: Solve for x
    x = 116,355,360.06/8,971.34
  6. Step 6: Final answer
    x = 12,969.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.