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Finding the Fourth Proportional to 16,382.78, 24,574.16 and 4,070.78

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Solution

The fourth proportional to 16,382.78, 24,574.16 and 4,070.78 is: 6,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.78 : 24,574.16 = 4,070.78 : x
  2. Step 2: Convert to fraction form
    16,382.78/24,574.16 = 4,070.78/x
  3. Step 3: Cross multiply
    16,382.78x = 24,574.16 × 4,070.78
  4. Step 4: Simplify right side
    16,382.78x = 100,035,999.04
  5. Step 5: Solve for x
    x = 100,035,999.04/16,382.78
  6. Step 6: Final answer
    x = 6,106.17

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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.