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Finding the Fourth Proportional to 10,857.13, 14,976.18 and 9,594.14

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Solution

The fourth proportional to 10,857.13, 14,976.18 and 9,594.14 is: 13,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.13 : 14,976.18 = 9,594.14 : x
  2. Step 2: Convert to fraction form
    10,857.13/14,976.18 = 9,594.14/x
  3. Step 3: Cross multiply
    10,857.13x = 14,976.18 × 9,594.14
  4. Step 4: Simplify right side
    10,857.13x = 143,683,492.70
  5. Step 5: Solve for x
    x = 143,683,492.70/10,857.13
  6. Step 6: Final answer
    x = 13,234.02

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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.