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Finding the Fourth Proportional to 9,975.54, 14,969.14 and 5,536.94

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Solution

The fourth proportional to 9,975.54, 14,969.14 and 5,536.94 is: 8,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.54 : 14,969.14 = 5,536.94 : x
  2. Step 2: Convert to fraction form
    9,975.54/14,969.14 = 5,536.94/x
  3. Step 3: Cross multiply
    9,975.54x = 14,969.14 × 5,536.94
  4. Step 4: Simplify right side
    9,975.54x = 82,883,225.54
  5. Step 5: Solve for x
    x = 82,883,225.54/9,975.54
  6. Step 6: Final answer
    x = 8,308.65

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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.