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Finding the Fourth Proportional to 9,689.58, 14,508.26 and 6,160.50

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Solution

The fourth proportional to 9,689.58, 14,508.26 and 6,160.50 is: 9,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.58 : 14,508.26 = 6,160.50 : x
  2. Step 2: Convert to fraction form
    9,689.58/14,508.26 = 6,160.50/x
  3. Step 3: Cross multiply
    9,689.58x = 14,508.26 × 6,160.50
  4. Step 4: Simplify right side
    9,689.58x = 89,378,135.73
  5. Step 5: Solve for x
    x = 89,378,135.73/9,689.58
  6. Step 6: Final answer
    x = 9,224.15

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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.