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Finding the Fourth Proportional to 7,421.94, 10,232.01 and 7,191.90

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Solution

The fourth proportional to 7,421.94, 10,232.01 and 7,191.90 is: 9,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.94 : 10,232.01 = 7,191.90 : x
  2. Step 2: Convert to fraction form
    7,421.94/10,232.01 = 7,191.90/x
  3. Step 3: Cross multiply
    7,421.94x = 10,232.01 × 7,191.90
  4. Step 4: Simplify right side
    7,421.94x = 73,587,592.72
  5. Step 5: Solve for x
    x = 73,587,592.72/7,421.94
  6. Step 6: Final answer
    x = 9,914.87

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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.