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Finding the Fourth Proportional to 7,226.78, 9,973.14 and 4,242.74

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Solution

The fourth proportional to 7,226.78, 9,973.14 and 4,242.74 is: 5,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.78 : 9,973.14 = 4,242.74 : x
  2. Step 2: Convert to fraction form
    7,226.78/9,973.14 = 4,242.74/x
  3. Step 3: Cross multiply
    7,226.78x = 9,973.14 × 4,242.74
  4. Step 4: Simplify right side
    7,226.78x = 42,313,440.00
  5. Step 5: Solve for x
    x = 42,313,440.00/7,226.78
  6. Step 6: Final answer
    x = 5,855.09

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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.