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Finding the Fourth Proportional to 9,957.53, 13,741.74 and 5,709.39

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Solution

The fourth proportional to 9,957.53, 13,741.74 and 5,709.39 is: 7,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.53 : 13,741.74 = 5,709.39 : x
  2. Step 2: Convert to fraction form
    9,957.53/13,741.74 = 5,709.39/x
  3. Step 3: Cross multiply
    9,957.53x = 13,741.74 × 5,709.39
  4. Step 4: Simplify right side
    9,957.53x = 78,456,952.94
  5. Step 5: Solve for x
    x = 78,456,952.94/9,957.53
  6. Step 6: Final answer
    x = 7,879.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.