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Finding the Fourth Proportional to 6,125.59, 9,188.49 and 1,743.16

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Solution

The fourth proportional to 6,125.59, 9,188.49 and 1,743.16 is: 2,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.59 : 9,188.49 = 1,743.16 : x
  2. Step 2: Convert to fraction form
    6,125.59/9,188.49 = 1,743.16/x
  3. Step 3: Cross multiply
    6,125.59x = 9,188.49 × 1,743.16
  4. Step 4: Simplify right side
    6,125.59x = 16,017,008.23
  5. Step 5: Solve for x
    x = 16,017,008.23/6,125.59
  6. Step 6: Final answer
    x = 2,614.77

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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.