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Finding the Fourth Proportional to 36,911.16, 55,366.74 and 9,209.40

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Solution

The fourth proportional to 36,911.16, 55,366.74 and 9,209.40 is: 13,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,911.16 : 55,366.74 = 9,209.40 : x
  2. Step 2: Convert to fraction form
    36,911.16/55,366.74 = 9,209.40/x
  3. Step 3: Cross multiply
    36,911.16x = 55,366.74 × 9,209.40
  4. Step 4: Simplify right side
    36,911.16x = 509,894,455.36
  5. Step 5: Solve for x
    x = 509,894,455.36/36,911.16
  6. Step 6: Final answer
    x = 13,814.10

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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.