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Finding the Fourth Proportional to 15,878.80, 23,818.08 and 4,785.44

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Solution

The fourth proportional to 15,878.80, 23,818.08 and 4,785.44 is: 7,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.80 : 23,818.08 = 4,785.44 : x
  2. Step 2: Convert to fraction form
    15,878.80/23,818.08 = 4,785.44/x
  3. Step 3: Cross multiply
    15,878.80x = 23,818.08 × 4,785.44
  4. Step 4: Simplify right side
    15,878.80x = 113,979,992.76
  5. Step 5: Solve for x
    x = 113,979,992.76/15,878.80
  6. Step 6: Final answer
    x = 7,178.12

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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.