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Finding the Fourth Proportional to 9,955.74, 13,741 and 5,707.46

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Solution

The fourth proportional to 9,955.74, 13,741 and 5,707.46 is: 7,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.74 : 13,741 = 5,707.46 : x
  2. Step 2: Convert to fraction form
    9,955.74/13,741 = 5,707.46/x
  3. Step 3: Cross multiply
    9,955.74x = 13,741 × 5,707.46
  4. Step 4: Simplify right side
    9,955.74x = 78,426,207.86
  5. Step 5: Solve for x
    x = 78,426,207.86/9,955.74
  6. Step 6: Final answer
    x = 7,877.49

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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.