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Finding the Fourth Proportional to 5,942.47, 8,913 and 1,560.25

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Solution

The fourth proportional to 5,942.47, 8,913 and 1,560.25 is: 2,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.47 : 8,913 = 1,560.25 : x
  2. Step 2: Convert to fraction form
    5,942.47/8,913 = 1,560.25/x
  3. Step 3: Cross multiply
    5,942.47x = 8,913 × 1,560.25
  4. Step 4: Simplify right side
    5,942.47x = 13,906,508.25
  5. Step 5: Solve for x
    x = 13,906,508.25/5,942.47
  6. Step 6: Final answer
    x = 2,340.19

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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.