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Finding the Fourth Proportional to 7,223.68, 9,967.50 and 4,036.43

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Solution

The fourth proportional to 7,223.68, 9,967.50 and 4,036.43 is: 5,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.68 : 9,967.50 = 4,036.43 : x
  2. Step 2: Convert to fraction form
    7,223.68/9,967.50 = 4,036.43/x
  3. Step 3: Cross multiply
    7,223.68x = 9,967.50 × 4,036.43
  4. Step 4: Simplify right side
    7,223.68x = 40,233,140.94
  5. Step 5: Solve for x
    x = 40,233,140.94/7,223.68
  6. Step 6: Final answer
    x = 5,569.62

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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.