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Finding the Fourth Proportional to 7,125.32, 9,832.93 and 3,981.50

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Solution

The fourth proportional to 7,125.32, 9,832.93 and 3,981.50 is: 5,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.32 : 9,832.93 = 3,981.50 : x
  2. Step 2: Convert to fraction form
    7,125.32/9,832.93 = 3,981.50/x
  3. Step 3: Cross multiply
    7,125.32x = 9,832.93 × 3,981.50
  4. Step 4: Simplify right side
    7,125.32x = 39,149,810.80
  5. Step 5: Solve for x
    x = 39,149,810.80/7,125.32
  6. Step 6: Final answer
    x = 5,494.46

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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.