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Finding the Fourth Proportional to 13,710.93, 20,572.94 and 6,314.55

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Solution

The fourth proportional to 13,710.93, 20,572.94 and 6,314.55 is: 9,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.93 : 20,572.94 = 6,314.55 : x
  2. Step 2: Convert to fraction form
    13,710.93/20,572.94 = 6,314.55/x
  3. Step 3: Cross multiply
    13,710.93x = 20,572.94 × 6,314.55
  4. Step 4: Simplify right side
    13,710.93x = 129,908,858.28
  5. Step 5: Solve for x
    x = 129,908,858.28/13,710.93
  6. Step 6: Final answer
    x = 9,474.84

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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.