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Finding the Fourth Proportional to 12,101.99, 18,154.83 and 6,175.64

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Solution

The fourth proportional to 12,101.99, 18,154.83 and 6,175.64 is: 9,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.99 : 18,154.83 = 6,175.64 : x
  2. Step 2: Convert to fraction form
    12,101.99/18,154.83 = 6,175.64/x
  3. Step 3: Cross multiply
    12,101.99x = 18,154.83 × 6,175.64
  4. Step 4: Simplify right side
    12,101.99x = 112,117,663.46
  5. Step 5: Solve for x
    x = 112,117,663.46/12,101.99
  6. Step 6: Final answer
    x = 9,264.40

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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.