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Finding the Fourth Proportional to 9,564.50, 13,168.50 and 8,068.70

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Solution

The fourth proportional to 9,564.50, 13,168.50 and 8,068.70 is: 11,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.50 : 13,168.50 = 8,068.70 : x
  2. Step 2: Convert to fraction form
    9,564.50/13,168.50 = 8,068.70/x
  3. Step 3: Cross multiply
    9,564.50x = 13,168.50 × 8,068.70
  4. Step 4: Simplify right side
    9,564.50x = 106,252,675.95
  5. Step 5: Solve for x
    x = 106,252,675.95/9,564.50
  6. Step 6: Final answer
    x = 11,109.07

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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.