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Finding the Fourth Proportional to 7,233.14, 9,981.90 and 4,089.50

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Solution

The fourth proportional to 7,233.14, 9,981.90 and 4,089.50 is: 5,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.14 : 9,981.90 = 4,089.50 : x
  2. Step 2: Convert to fraction form
    7,233.14/9,981.90 = 4,089.50/x
  3. Step 3: Cross multiply
    7,233.14x = 9,981.90 × 4,089.50
  4. Step 4: Simplify right side
    7,233.14x = 40,820,980.05
  5. Step 5: Solve for x
    x = 40,820,980.05/7,233.14
  6. Step 6: Final answer
    x = 5,643.60

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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.