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Finding the Fourth Proportional to 9,957.92, 13,741.14 and 5,708.93

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Solution

The fourth proportional to 9,957.92, 13,741.14 and 5,708.93 is: 7,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.92 : 13,741.14 = 5,708.93 : x
  2. Step 2: Convert to fraction form
    9,957.92/13,741.14 = 5,708.93/x
  3. Step 3: Cross multiply
    9,957.92x = 13,741.14 × 5,708.93
  4. Step 4: Simplify right side
    9,957.92x = 78,447,206.38
  5. Step 5: Solve for x
    x = 78,447,206.38/9,957.92
  6. Step 6: Final answer
    x = 7,877.87

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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.