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Finding the Fourth Proportional to 5,926.14, 8,889.24 and 1,543.63

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Solution

The fourth proportional to 5,926.14, 8,889.24 and 1,543.63 is: 2,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.14 : 8,889.24 = 1,543.63 : x
  2. Step 2: Convert to fraction form
    5,926.14/8,889.24 = 1,543.63/x
  3. Step 3: Cross multiply
    5,926.14x = 8,889.24 × 1,543.63
  4. Step 4: Simplify right side
    5,926.14x = 13,721,697.54
  5. Step 5: Solve for x
    x = 13,721,697.54/5,926.14
  6. Step 6: Final answer
    x = 2,315.45

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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.