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Finding the Fourth Proportional to 9,842.64, 14,751.36 and 5,400.24

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Solution

The fourth proportional to 9,842.64, 14,751.36 and 5,400.24 is: 8,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.64 : 14,751.36 = 5,400.24 : x
  2. Step 2: Convert to fraction form
    9,842.64/14,751.36 = 5,400.24/x
  3. Step 3: Cross multiply
    9,842.64x = 14,751.36 × 5,400.24
  4. Step 4: Simplify right side
    9,842.64x = 79,660,884.33
  5. Step 5: Solve for x
    x = 79,660,884.33/9,842.64
  6. Step 6: Final answer
    x = 8,093.45

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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.