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Finding the Fourth Proportional to 9,657.62, 14,459.10 and 6,138.91

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Solution

The fourth proportional to 9,657.62, 14,459.10 and 6,138.91 is: 9,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.62 : 14,459.10 = 6,138.91 : x
  2. Step 2: Convert to fraction form
    9,657.62/14,459.10 = 6,138.91/x
  3. Step 3: Cross multiply
    9,657.62x = 14,459.10 × 6,138.91
  4. Step 4: Simplify right side
    9,657.62x = 88,763,113.58
  5. Step 5: Solve for x
    x = 88,763,113.58/9,657.62
  6. Step 6: Final answer
    x = 9,190.99

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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.