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Finding the Fourth Proportional to 6,957.99, 10,437 and 1,764.27

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Solution

The fourth proportional to 6,957.99, 10,437 and 1,764.27 is: 2,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.99 : 10,437 = 1,764.27 : x
  2. Step 2: Convert to fraction form
    6,957.99/10,437 = 1,764.27/x
  3. Step 3: Cross multiply
    6,957.99x = 10,437 × 1,764.27
  4. Step 4: Simplify right side
    6,957.99x = 18,413,685.99
  5. Step 5: Solve for x
    x = 18,413,685.99/6,957.99
  6. Step 6: Final answer
    x = 2,646.41

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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.