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Finding the Fourth Proportional to 40,767, 61,152.30 and 11,184.16

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Solution

The fourth proportional to 40,767, 61,152.30 and 11,184.16 is: 16,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767 : 61,152.30 = 11,184.16 : x
  2. Step 2: Convert to fraction form
    40,767/61,152.30 = 11,184.16/x
  3. Step 3: Cross multiply
    40,767x = 61,152.30 × 11,184.16
  4. Step 4: Simplify right side
    40,767x = 683,937,107.57
  5. Step 5: Solve for x
    x = 683,937,107.57/40,767
  6. Step 6: Final answer
    x = 16,776.73

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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.