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Finding the Fourth Proportional to 9,975.94, 14,950.86 and 7,211.86

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Solution

The fourth proportional to 9,975.94, 14,950.86 and 7,211.86 is: 10,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.94 : 14,950.86 = 7,211.86 : x
  2. Step 2: Convert to fraction form
    9,975.94/14,950.86 = 7,211.86/x
  3. Step 3: Cross multiply
    9,975.94x = 14,950.86 × 7,211.86
  4. Step 4: Simplify right side
    9,975.94x = 107,823,509.20
  5. Step 5: Solve for x
    x = 107,823,509.20/9,975.94
  6. Step 6: Final answer
    x = 10,808.36

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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.