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Finding the Fourth Proportional to 7,225.54, 9,972.31 and 4,243.01

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Solution

The fourth proportional to 7,225.54, 9,972.31 and 4,243.01 is: 5,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.54 : 9,972.31 = 4,243.01 : x
  2. Step 2: Convert to fraction form
    7,225.54/9,972.31 = 4,243.01/x
  3. Step 3: Cross multiply
    7,225.54x = 9,972.31 × 4,243.01
  4. Step 4: Simplify right side
    7,225.54x = 42,312,600.45
  5. Step 5: Solve for x
    x = 42,312,600.45/7,225.54
  6. Step 6: Final answer
    x = 5,855.98

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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.