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Finding the Fourth Proportional to 7,152.36, 9,870.10 and 3,922.21

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Solution

The fourth proportional to 7,152.36, 9,870.10 and 3,922.21 is: 5,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.36 : 9,870.10 = 3,922.21 : x
  2. Step 2: Convert to fraction form
    7,152.36/9,870.10 = 3,922.21/x
  3. Step 3: Cross multiply
    7,152.36x = 9,870.10 × 3,922.21
  4. Step 4: Simplify right side
    7,152.36x = 38,712,604.92
  5. Step 5: Solve for x
    x = 38,712,604.92/7,152.36
  6. Step 6: Final answer
    x = 5,412.56

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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.