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Finding the Fourth Proportional to 9,752.74, 13,458.88 and 5,923.27

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Solution

The fourth proportional to 9,752.74, 13,458.88 and 5,923.27 is: 8,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.74 : 13,458.88 = 5,923.27 : x
  2. Step 2: Convert to fraction form
    9,752.74/13,458.88 = 5,923.27/x
  3. Step 3: Cross multiply
    9,752.74x = 13,458.88 × 5,923.27
  4. Step 4: Simplify right side
    9,752.74x = 79,720,580.14
  5. Step 5: Solve for x
    x = 79,720,580.14/9,752.74
  6. Step 6: Final answer
    x = 8,174.17

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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.