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Finding the Fourth Proportional to 6,542.44, 9,814.14 and 1,925.64

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Solution

The fourth proportional to 6,542.44, 9,814.14 and 1,925.64 is: 2,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.44 : 9,814.14 = 1,925.64 : x
  2. Step 2: Convert to fraction form
    6,542.44/9,814.14 = 1,925.64/x
  3. Step 3: Cross multiply
    6,542.44x = 9,814.14 × 1,925.64
  4. Step 4: Simplify right side
    6,542.44x = 18,898,500.55
  5. Step 5: Solve for x
    x = 18,898,500.55/6,542.44
  6. Step 6: Final answer
    x = 2,888.60

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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.