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Finding the Fourth Proportional to 9,597.10, 14,371.04 and 8,120.88

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Solution

The fourth proportional to 9,597.10, 14,371.04 and 8,120.88 is: 12,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.10 : 14,371.04 = 8,120.88 : x
  2. Step 2: Convert to fraction form
    9,597.10/14,371.04 = 8,120.88/x
  3. Step 3: Cross multiply
    9,597.10x = 14,371.04 × 8,120.88
  4. Step 4: Simplify right side
    9,597.10x = 116,705,491.32
  5. Step 5: Solve for x
    x = 116,705,491.32/9,597.10
  6. Step 6: Final answer
    x = 12,160.50

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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.