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Finding the Fourth Proportional to 5,126.44, 7,689.42 and 1,663.72

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Solution

The fourth proportional to 5,126.44, 7,689.42 and 1,663.72 is: 2,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.44 : 7,689.42 = 1,663.72 : x
  2. Step 2: Convert to fraction form
    5,126.44/7,689.42 = 1,663.72/x
  3. Step 3: Cross multiply
    5,126.44x = 7,689.42 × 1,663.72
  4. Step 4: Simplify right side
    5,126.44x = 12,793,041.84
  5. Step 5: Solve for x
    x = 12,793,041.84/5,126.44
  6. Step 6: Final answer
    x = 2,495.50

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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.